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diff --git a/Quantitative_Aptitude_for_Competitive_Examinations/Chapter5.ipynb b/Quantitative_Aptitude_for_Competitive_Examinations/Chapter5.ipynb new file mode 100755 index 00000000..8b6286d1 --- /dev/null +++ b/Quantitative_Aptitude_for_Competitive_Examinations/Chapter5.ipynb @@ -0,0 +1,1841 @@ +{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#5: Percentage"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.1, Page number 5.5"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "0.4 in terms of percentage is 40.0 %\n",
+ "1.0 in terms of percentage is 100.0 %\n",
+ "5/3 in terms of percentage is 166.67 %\n",
+ "7x/y in terms of percentage is 700 x/y %\n",
+ "1.23 in terms of percentage is 123.0 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=0.4;\n",
+ "b=1.0;\n",
+ "c=5/3;\n",
+ "d=7;\n",
+ "e=1.23;\n",
+ "\n",
+ "#Calculation\n",
+ "A=a*100; #in terms of percentage(%)\n",
+ "B=b*100; #in terms of percentage(%)\n",
+ "C=c*100; #in terms of percentage(%)\n",
+ "D=d*100; #in terms of percentage(%)\n",
+ "E=e*100; #in terms of percentage(%)\n",
+ "\n",
+ "#Result\n",
+ "print \"0.4 in terms of percentage is\",A,\"%\"\n",
+ "print \"1.0 in terms of percentage is\",B,\"%\"\n",
+ "print \"5/3 in terms of percentage is\",round(C,2),\"%\"\n",
+ "print \"7x/y in terms of percentage is\",D,\"x/y %\"\n",
+ "print \"1.23 in terms of percentage is\",E,\"%\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.2, Page number 5.5"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "22 1/2 in terms of fraction is 0.225\n",
+ "35 in terms of fraction is 0.35\n",
+ "a**2/b in terms of fraction is a**2/100b\n",
+ "0.3 in terms of fraction is 0.003\n",
+ "2/7 in terms of fraction is 0.0029\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=22+(1/2);\n",
+ "b=35;\n",
+ "c=0.3;\n",
+ "d=2/7;\n",
+ "\n",
+ "#Calculation\n",
+ "A=a/100; #in terms of fraction\n",
+ "B=b/100; #in terms of fraction\n",
+ "C=c/100; #in terms of fraction\n",
+ "D=d/100; #in terms of fraction\n",
+ "\n",
+ "#Result\n",
+ "print \"22 1/2 in terms of fraction is\",A\n",
+ "print \"35 in terms of fraction is\",B\n",
+ "print \"a**2/b in terms of fraction is a**2/100b\"\n",
+ "print \"0.3 in terms of fraction is\",C\n",
+ "print \"2/7 in terms of fraction is\",round(D,4)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.3, Page number 5.5"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "value in 1st case is 2.43\n",
+ "value in 2nd case is 1.3\n",
+ "value in 3rd case is 2.8\n",
+ "value in 4th case is 80.0\n",
+ "value in 5th case is 1.6\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p1=9; \n",
+ "a1=27;\n",
+ "p2=0.02;\n",
+ "a2=6500;\n",
+ "p3=7/2;\n",
+ "a3=80;\n",
+ "p4=125;\n",
+ "a4=64;\n",
+ "p5=10;\n",
+ "P5=5;\n",
+ "a5=320;\n",
+ "\n",
+ "#Calculation\n",
+ "A1=p1*a1/100;\n",
+ "A2=p2*a2/100;\n",
+ "A3=p3*a3/100;\n",
+ "A4=p4*a4/100;\n",
+ "A5=p5*P5*a5/(100*100);\n",
+ "\n",
+ "#Result\n",
+ "print \"value in 1st case is\",A1\n",
+ "print \"value in 2nd case is\",A2\n",
+ "print \"value in 3rd case is\",A3\n",
+ "print \"value in 4th case is\",A4\n",
+ "print \"value in 5th case is\",A5"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.4, Page number 5.6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "value in 1st case is 25.0 %\n",
+ "value in 2nd case is 116.67 %\n",
+ "value in 3rd case is 20.0 %\n",
+ "value in 4th case is 50.0 %\n",
+ "value in 5th case is 36.0 %\n",
+ "value in 6th case is 100R/N %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a1=36;\n",
+ "b1=144;\n",
+ "a2=7/8;\n",
+ "b2=3/4;\n",
+ "a3=16;\n",
+ "b3=80;\n",
+ "a4=0.625;\n",
+ "b4=1+(7/28);\n",
+ "a5=36*14;\n",
+ "b5=1400;\n",
+ "\n",
+ "#Calculation\n",
+ "v1=a1*100/b1; #value(%)\n",
+ "v2=a2*100/b2; #value(%)\n",
+ "v3=a3*100/b3; #value(%)\n",
+ "v4=a4*100/b4; #value(%)\n",
+ "v5=a5*100/b5; #value(%)\n",
+ "\n",
+ "#Result\n",
+ "print \"value in 1st case is\",v1,\"%\"\n",
+ "print \"value in 2nd case is\",round(v2,2),\"%\"\n",
+ "print \"value in 3rd case is\",v3,\"%\"\n",
+ "print \"value in 4th case is\",v4,\"%\"\n",
+ "print \"value in 5th case is\",v5,\"%\"\n",
+ "print \"value in 6th case is 100R/N %\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.5, Page number 5.7"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "value in 1st case is 600.0\n",
+ "value in 2nd case is 50.0\n",
+ "value in 3rd case is 240.0\n",
+ "value in 4th case is 4.08\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p1=6; \n",
+ "a1=36;\n",
+ "p2=5;\n",
+ "a2=2.5;\n",
+ "p3=25;\n",
+ "P3=20;\n",
+ "a3=12;\n",
+ "p4=14;\n",
+ "a4=4/7;\n",
+ "\n",
+ "#Calculation\n",
+ "A1=a1*100/p1;\n",
+ "A2=a2*100/p2;\n",
+ "A3=a3*100*100/(p3*P3);\n",
+ "A4=a4*100/p4;\n",
+ "\n",
+ "#Result\n",
+ "print \"value in 1st case is\",A1\n",
+ "print \"value in 2nd case is\",A2\n",
+ "print \"value in 3rd case is\",A3\n",
+ "print \"value in 4th case is\",round(A4,2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.6, Page number 5.7"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "40% of number is 32.0\n",
+ "original number is 80.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p1=25;\n",
+ "p2=40;\n",
+ "x1=20;\n",
+ "\n",
+ "#Calculation\n",
+ "x2=x1*p2/p1; #40% of number \n",
+ "N=x1*100/p1; #original number\n",
+ "\n",
+ "#Result\n",
+ "print \"40% of number is\",x2\n",
+ "print \"original number is\",N"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.8, Page number 5.8"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "B is short of A by 20.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "e=25; #% excess\n",
+ "\n",
+ "#Calculation\n",
+ "s=e*100/(100+e); #%short\n",
+ "\n",
+ "#Result\n",
+ "print \"B is short of A by\",s"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.9, Page number 5.8"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Y is excess of X by 66.67\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "s=40; #%short\n",
+ "\n",
+ "#Calculation\n",
+ "e=s*100/(100-s); #% excess\n",
+ "\n",
+ "#Result\n",
+ "print \"Y is excess of X by\",round(e,2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.10, Page number 5.8"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "salary of july more than that of june is 11.11 %\n",
+ "salary of june less than that of july is 10.0 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "J=2+(1/2);\n",
+ "j=2+(1/4);\n",
+ "\n",
+ "#Calculation\n",
+ "d=J-j; #difference\n",
+ "s1=d*100/j; #salary more(%)\n",
+ "s2=d*100/J; #salary less(%)\n",
+ "\n",
+ "#Result\n",
+ "print \"salary of july more than that of june is\",round(s1,2),\"%\"\n",
+ "print \"salary of june less than that of july is\",s2,\"%\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.11, Page number 5.8"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "enrollment in 1988 is 1650.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "e=1500; #total enrollment\n",
+ "p=10; #percentage increment\n",
+ "\n",
+ "#Calculation\n",
+ "E=e*(100+p)/100; #enrollment in 1988\n",
+ "\n",
+ "#Result\n",
+ "print \"enrollment in 1988 is\",E"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.13, Page number 5.9"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of rectangle decreases by 22.0 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "x=-40; #% decrease\n",
+ "y=30; #% increase\n",
+ "\n",
+ "#Calculation\n",
+ "n=x+y+((x*y)/100); #area of rectangle decreases by(%)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of rectangle decreases by\",-n,\"%\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.14, Page number 5.9"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "original daily wage is 20.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "i=23; #increased daily wage(%)\n",
+ "pi=15; #percentage increase(%)\n",
+ "\n",
+ "#Calculation\n",
+ "o=i*100/(100+pi); #original daily wage\n",
+ "\n",
+ "#Result\n",
+ "print \"original daily wage is\",o"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.16, Page number 5.10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Y gets 42.0 % above minimum\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "Y=710; #marks of Y\n",
+ "X=515; #marks of X\n",
+ "px=3; #% above\n",
+ "\n",
+ "#Calculation\n",
+ "py=(Y*(100+px)/X)-100; #Y gets % above minimum\n",
+ "\n",
+ "#Result\n",
+ "print \"Y gets\",py,\"% above minimum\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.18, Page number 5.10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "% of scholarship holders is 22.0\n",
+ "% of non scholarship holders is 78.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "b=3; #boys in ratio\n",
+ "g=2; #girls in ratio\n",
+ "pb=20; #% of boys\n",
+ "pg=25; #% of girls\n",
+ "\n",
+ "#Calculation\n",
+ "B=b/(b+g); #number of boys\n",
+ "G=g/(b+g); #number of girls\n",
+ "ps=(B*pb)+(G*pg); #% of scholarship holders\n",
+ "pns=(B*(100-pb))+(G*(100-pg)); #% of non scholarship holders\n",
+ "\n",
+ "#Result\n",
+ "print \"% of scholarship holders is\",ps\n",
+ "print \"% of non scholarship holders is\",pns"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.19, Page number 5.10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "% change in consumption is 11.11 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "Nr=27; #new rate(Rs)\n",
+ "Or=24; #original rate(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "pc=(Nr-Or)*100/Or; #% change in rate\n",
+ "pcc=pc*100/(100+pc); #% change in consumption\n",
+ "\n",
+ "#Result\n",
+ "print \"% change in consumption is\",round(pcc,2),\"%\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.20, Page number 5.11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "original price of sugar is Rs 4.0 per kg\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "e=16; #expenditure(Rs)\n",
+ "rc=2; #rate change(Rs)\n",
+ "qc=4; #change in quantity available(kg)\n",
+ "\n",
+ "#Calculation\n",
+ "b=-rc; #coefficient of x\n",
+ "a=1; #coefficient of x**2\n",
+ "c=-e*rc/qc; #constant term\n",
+ "x=(b**2)-(4*a*c);\n",
+ "x1=(-b+math.sqrt(x))/(2*a); \n",
+ "x2=(-b-math.sqrt(x))/(2*a); \n",
+ "\n",
+ "#Result\n",
+ "print \"original price of sugar is Rs\",x1,\"per kg\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.21, Page number 5.11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "original price is Rs 8.0 per kg\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "e=120; #expenditure(Rs)\n",
+ "rc=0.25; #rate change(Rs)\n",
+ "qc=5; #change in quantity available(kg)\n",
+ "\n",
+ "#Calculation\n",
+ "x=e*rc/(qc*(1-rc)); #original price(Rs/kg)\n",
+ "\n",
+ "#Result\n",
+ "print \"original price is Rs\",x,\"per kg\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.22, Page number 5.11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "% decrease in consumption is 2.913 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "cr=3; #change in rate(%)\n",
+ "\n",
+ "#Calculation\n",
+ "dc=cr*100/(100+cr); #% decrease in consumption\n",
+ "\n",
+ "#Result\n",
+ "print \"% decrease in consumption is\",round(dc,3),\"%\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.24, Page number 5.12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "salary is 5000.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p1=10; #deduction(%)\n",
+ "p2=20; #deduction(%)\n",
+ "p3=25; #deduction(%)\n",
+ "l=2700; #left with amount(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "x=(100-p1)*(100-p2)*(100-p3)/(100*100*100);\n",
+ "s=l/x; #salary(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"salary is\",s,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.25, Page number 5.12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "new consumption is 25.0 kg\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p1=10; #% increase\n",
+ "q=30; #quantity(kg)\n",
+ "p2=32; #% increase\n",
+ "\n",
+ "#Calculation\n",
+ "nc=(100+p1)*q/(100+p2); #new consumption(kg)\n",
+ "\n",
+ "#Result\n",
+ "print \"new consumption is\",nc,\"kg\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.26, Page number 5.12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "income after increase is Rs 7200.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=1200; #amount increased(Rs)\n",
+ "p1=10; #% before\n",
+ "p2=12; #% after\n",
+ "\n",
+ "#Calculation\n",
+ "x=a*p2/(p2-p1); #income after increase(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"income after increase is Rs\",x"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.27, Page number 5.12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "value in 1st case is 280.0\n",
+ "value in 2nd case is 0.5\n",
+ "value in 3rd case is 225.0\n",
+ "value in 4th case is 30.0\n",
+ "value in 5th case is 880.0\n",
+ "value in 6th case is 12.0\n",
+ "value in 7th case is 0.4 %\n",
+ "value in 8th case is 220.0\n",
+ "value in 9th case is 150.0\n",
+ "value in 10th case is 42.0\n",
+ "value in 11th case is 0.75 %\n",
+ "value in 12th case is 0.15\n",
+ "value in 13th case is 0.375\n",
+ "value in 14th case is 0.125\n",
+ "value in 15th case is 15.0\n",
+ "value in 16th case is 20.0\n",
+ "value in 17th case is 300.0\n",
+ "value in 18th case is 6.0\n",
+ "answer given in the book is wrong\n",
+ "value in 19th case is 1.05 x\n",
+ "value in 20th case is 0.93 x\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a1=3/4;\n",
+ "b1=48;\n",
+ "c1=62;\n",
+ "p1=35/100;\n",
+ "p2=45/100;\n",
+ "a2=5/6;\n",
+ "P2=20/100;\n",
+ "b2=4.375;\n",
+ "a3=625;\n",
+ "b3=1200;\n",
+ "c3=320;\n",
+ "p3=80/100;\n",
+ "a4=3/5;\n",
+ "b4=1450;\n",
+ "p4=200/100;\n",
+ "c4=450;\n",
+ "a5=5+(1/2);\n",
+ "b5=240;\n",
+ "p5=150/100;\n",
+ "a6=5/7;\n",
+ "b6=49;\n",
+ "c6=130;\n",
+ "p6=20/100;\n",
+ "a7=2*1000;\n",
+ "b7=800;\n",
+ "a8=534;\n",
+ "b8=105;\n",
+ "p8=(33+(1/3))/100;\n",
+ "P8=40/100;\n",
+ "p9=(26+(2/3))/100;\n",
+ "a9=40;\n",
+ "p10=(10+(1/2))/100;\n",
+ "a10=400;\n",
+ "a11=108;\n",
+ "b11=81;\n",
+ "a12=60;\n",
+ "b12=72;\n",
+ "p12=(12+(1/2))/100;\n",
+ "p13=0.025/100;\n",
+ "a13=1500;\n",
+ "p14=25/100;\n",
+ "P14=50/100;\n",
+ "a15=150;\n",
+ "a16=73;\n",
+ "p17=11/100;\n",
+ "a17=33;\n",
+ "a18=350;\n",
+ "b18=21;\n",
+ "a19=5/100;\n",
+ "a20=7/100;\n",
+ "\n",
+ "#Calculation\n",
+ "v1=((a1*b1)+c1)/p1; #value in 1st case\n",
+ "v2=(P2*b2)-(p2*a2); #value in 2nd case\n",
+ "v3=((p3*b3)-c3-a3)**2; #value in 3rd case \n",
+ "v4=(p4*c4)-(a4*b4); #value in 4th case \n",
+ "v5=a5*b5/p5; #value in 5th case \n",
+ "v6=(a6*b6)+(p6*c6)-b6; #value in 6th case \n",
+ "v7=b7/a7; #value in 7th case \n",
+ "v8=(p8*a8)+(P8*b8); #value in 8th case \n",
+ "v9=a9/p9; #value in 9th case \n",
+ "v10=p10*a10; #value in 10th case \n",
+ "v11=b11/a11; #value in 11th case \n",
+ "v12=b12*p12/a12; #value in 12th case \n",
+ "v13=p13*a13; #value in 13th case\n",
+ "v14=p14*P14; #value in 14th case\n",
+ "v15=a15*100/1000; #value in 15th case\n",
+ "v16=a16*100/365; #value in 16th case \n",
+ "v17=a17/p17; #value in 17th case\n",
+ "v18=b18*100/a18; #value in 18th case\n",
+ "v19=1+a19; #value in 19th case \n",
+ "v20=1-a20; #value in 20th case\n",
+ "\n",
+ "#Result\n",
+ "print \"value in 1st case is\",v1\n",
+ "print \"value in 2nd case is\",v2\n",
+ "print \"value in 3rd case is\",v3\n",
+ "print \"value in 4th case is\",v4\n",
+ "print \"value in 5th case is\",v5\n",
+ "print \"value in 6th case is\",v6\n",
+ "print \"value in 7th case is\",v7,\"%\"\n",
+ "print \"value in 8th case is\",v8\n",
+ "print \"value in 9th case is\",v9\n",
+ "print \"value in 10th case is\",v10\n",
+ "print \"value in 11th case is\",v11,\"%\"\n",
+ "print \"value in 12th case is\",v12\n",
+ "print \"value in 13th case is\",v13\n",
+ "print \"value in 14th case is\",v14\n",
+ "print \"value in 15th case is\",v15\n",
+ "print \"value in 16th case is\",v16\n",
+ "print \"value in 17th case is\",v17\n",
+ "print \"value in 18th case is\",v18\n",
+ "print \"answer given in the book is wrong\"\n",
+ "print \"value in 19th case is\",v19,\"x\"\n",
+ "print \"value in 20th case is\",v20,\"x\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.28, Page number 5.15"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "saving increases by 25 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "si=10; #income(%)\n",
+ "Si=25; #salary increase(%)\n",
+ "\n",
+ "#Calculation\n",
+ "SI=Si; #saving increase(%)\n",
+ "\n",
+ "#Result\n",
+ "print \"saving increases by\",SI,\"%\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.29, Page number 5.15"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "amount boy had is Rs 48.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n=20; #number of books\n",
+ "a1=25/100; #amount less(Rs)\n",
+ "a2=70/100; #amount left(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "X=((n+2)*a1)-a2;\n",
+ "x=n*X/(n+2-n); #amount boy had(Rs) \n",
+ "\n",
+ "#Result\n",
+ "print \"amount boy had is Rs\",x"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.30, Page number 5.15"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "value of N is 20.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p=80; #percentage(%)\n",
+ "n=4; #reduced number\n",
+ "\n",
+ "#Calculation\n",
+ "N=n*100/(100-p); #value of N\n",
+ "\n",
+ "#Result\n",
+ "print \"value of N is\",N"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.31, Page number 5.15"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "value of N is 300.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p=102; #percentage(%)\n",
+ "n=6; #reduced number\n",
+ "\n",
+ "#Calculation\n",
+ "N=n*100/(p-100); #value of N\n",
+ "\n",
+ "#Result\n",
+ "print \"value of N is\",N"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.32, Page number 5.15"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "new value for 1st case is 320.0\n",
+ "new value for 2nd case is 22.0\n",
+ "new value for 3rd case is 105.0\n",
+ "new value for 4th case is 54.0\n",
+ "new value for 5th case is 1035.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a1=200;\n",
+ "p1=60;\n",
+ "a2=11;\n",
+ "p2=100;\n",
+ "a3=35;\n",
+ "p3=200;\n",
+ "a4=48;\n",
+ "p4=12+(1/2);\n",
+ "a5=1000;\n",
+ "p5=3.5;\n",
+ "\n",
+ "#Calculation\n",
+ "N1=a1*(100+p1)/100; #new value for 1st case\n",
+ "N2=a2*(100+p2)/100; #new value for 2nd case\n",
+ "N3=a3*(100+p3)/100; #new value for 3rd case\n",
+ "N4=a4*(100+p4)/100; #new value for 4th case\n",
+ "N5=a5*(100+p5)/100; #new value for 5th case\n",
+ "\n",
+ "#Result\n",
+ "print \"new value for 1st case is\",N1\n",
+ "print \"new value for 2nd case is\",N2\n",
+ "print \"new value for 3rd case is\",N3\n",
+ "print \"new value for 4th case is\",N4\n",
+ "print \"new value for 5th case is\",N5"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.33, Page number 5.16"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "new value for 1st case is 120.0\n",
+ "new value for 2nd case is 12.0\n",
+ "new value for 3rd case is 135.0\n",
+ "new value for 4th case is 292.5\n",
+ "new value for 5th case is 998.0\n",
+ "new value for 6th case is 43.75\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a1=200;\n",
+ "p1=40;\n",
+ "a2=16;\n",
+ "p2=25;\n",
+ "a3=216;\n",
+ "p3=37+(1/2);\n",
+ "a4=300;\n",
+ "p4=2.5;\n",
+ "a5=1000;\n",
+ "p5=1/5;\n",
+ "a6=50;\n",
+ "p6=12+(1/2);\n",
+ "\n",
+ "#Calculation\n",
+ "N1=a1*(100-p1)/100; #new value for 1st case\n",
+ "N2=a2*(100-p2)/100; #new value for 2nd case\n",
+ "N3=a3*(100-p3)/100; #new value for 3rd case\n",
+ "N4=a4*(100-p4)/100; #new value for 4th case\n",
+ "N5=a5*(100-p5)/100; #new value for 5th case\n",
+ "N6=a6*(100-p6)/100; #new value for 6th case\n",
+ "\n",
+ "#Result\n",
+ "print \"new value for 1st case is\",N1\n",
+ "print \"new value for 2nd case is\",N2\n",
+ "print \"new value for 3rd case is\",N3\n",
+ "print \"new value for 4th case is\",N4\n",
+ "print \"new value for 5th case is\",N5\n",
+ "print \"new value for 6th case is\",N6"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.34, Page number 5.17"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "amount of bill is Rs 50.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p=10; #percent(%)\n",
+ "b=45; #decreased bill(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "N=b*100/(100-p); #amount of bill(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"amount of bill is Rs\",N"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.35, Page number 5.17"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "number of milk chocolates/month is 7000.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p=30; #percent(%)\n",
+ "n=9100; #number of milk chocolates\n",
+ "\n",
+ "#Calculation\n",
+ "N=n*100/(100+p); #number of milk chocolates\n",
+ "\n",
+ "#Result\n",
+ "print \"number of milk chocolates/month is\",N"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.36, Page number 5.18"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "error is 2.0 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "fw=40.8; #false weight(kg)\n",
+ "aw=40; #actual weight(kg)\n",
+ "\n",
+ "#Calculation\n",
+ "e=(fw-aw)*100/aw; #error(%)\n",
+ "\n",
+ "#Result\n",
+ "print \"error is\",e,\"%\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.37, Page number 5.18"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "new price per kg is Rs 50.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "d=10; #difference(Rs)\n",
+ "dp=25; #difference in percent(%)\n",
+ "\n",
+ "#Calculation\n",
+ "op=d*100/dp; #original price(Rs)\n",
+ "np=op*(100+dp)/100; #new price per kg(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"new price per kg is Rs\",np"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.38, Page number 5.18"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "ratio of change in price to old price is 1/4\n",
+ "ratio of old price to new price is 1.33\n",
+ "factor is 3/4\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "from fractions import Fraction\n",
+ "\n",
+ "#Variable declaration\n",
+ "cp=25; #change in price(Rs)\n",
+ "op=100; #old price(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "r1=cp/op; #ratio of change in price to old price\n",
+ "r2=op/(op-cp); #ratio of old price to new price\n",
+ "f=(100-cp)/100; #factor\n",
+ "\n",
+ "#Result\n",
+ "print \"ratio of change in price to old price is\",Fraction(r1)\n",
+ "print \"ratio of old price to new price is\",round(r2,2)\n",
+ "print \"factor is\",Fraction(f)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.39, Page number 5.18"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "B=A* 0.91\n",
+ "A=B* 11 /10\n",
+ "A/B = 11 /10\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p=10; #percent(%)\n",
+ "\n",
+ "#Calculation\n",
+ "x2=(100+p)/100;\n",
+ "x1=100/(100+p);\n",
+ "\n",
+ "#Result\n",
+ "print \"B=A*\",round(x1,2)\n",
+ "print \"A=B*\",int(x2*10),\"/10\"\n",
+ "print \"A/B = \",int(x2*10),\"/10\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "collapsed": true
+ },
+ "source": [
+ "##Example number 5.40, Page number 5.19"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "X/Y = 0.8\n",
+ "Y-X/Y = 0.2\n",
+ "X/Y-X = 4\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p=20; #percent(%)\n",
+ "\n",
+ "#Calculation\n",
+ "x1=(100-p)/100;\n",
+ "x2=p/100;\n",
+ "x3=(100-p)/p;\n",
+ "\n",
+ "#Result\n",
+ "print \"X/Y = \",x1\n",
+ "print \"Y-X/Y = \",x2\n",
+ "print \"X/Y-X = \",int(x3)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "collapsed": true
+ },
+ "source": [
+ "##Example number 5.41, Page number 5.19"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "weight of table is 9.6 kg\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p1=2+(1/2); #percent(%)\n",
+ "w=0.2; #weight(kg)\n",
+ "p2=120; #percent(%)\n",
+ "\n",
+ "#Calculation\n",
+ "w=w*p2/p1; #weight of table(kg)\n",
+ "\n",
+ "#Result\n",
+ "print \"weight of table is\",w,\"kg\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.42, Page number 5.20"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "five times the sum of money is Rs 1740.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p=1/8; #percent(%)\n",
+ "a=43.50; #amount(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "S=a*5/p; #five times the sum of money(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"five times the sum of money is Rs\",S"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.43, Page number 5.20"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "q is less than p by 83.33 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "q=1;\n",
+ "p=6*q; #number of times\n",
+ "\n",
+ "#Calculation\n",
+ "x=(p-q)*100/p; #q is less than p by(%)\n",
+ "\n",
+ "#Result\n",
+ "print \"q is less than p by\",round(x,2),\"%\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.44, Page number 5.20"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "required percent is 0.25 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n=0.05; #number\n",
+ "p=20/100;\n",
+ "\n",
+ "#Calculation\n",
+ "rp=n/p; #required percent(%)\n",
+ "\n",
+ "#Result\n",
+ "print \"required percent is\",rp,\"%\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.45, Page number 5.20"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 32,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "percent of sulphur in earth is 0.222 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n1=5;\n",
+ "n2=2250;\n",
+ "\n",
+ "#Calculation\n",
+ "ps=n1*100/n2; #percent of sulphur in earth(%)\n",
+ "\n",
+ "#Result\n",
+ "print \"percent of sulphur in earth is\",round(ps,3),\"%\""
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
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