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diff --git a/Quantitative_Aptitude_for_Competitive_Examinations/Chapter14.ipynb b/Quantitative_Aptitude_for_Competitive_Examinations/Chapter14.ipynb new file mode 100755 index 00000000..89228f7b --- /dev/null +++ b/Quantitative_Aptitude_for_Competitive_Examinations/Chapter14.ipynb @@ -0,0 +1,714 @@ +{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# 14: Simple Interest"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.1, Page number 14.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "simple interest in 1st case is 800.0 Rs\n",
+ "simple interest in 2nd case is 10.0 Rs\n",
+ "simple interest in 3rd case is 72.0 Rs\n",
+ "simple interest in 4th case is 50.0 Rs\n",
+ "simple interest in 5th case is 8.0 Rs\n",
+ "simple interest in 6th case is 24.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "P1=1000; #principal(Rs)\n",
+ "R1=20; #rate(%)\n",
+ "T1=4; #time(years)\n",
+ "P2=600; #principal(Rs)\n",
+ "R2=5; #rate(%)\n",
+ "T2=4/12; #time(years)\n",
+ "P3=200; #principal(Rs)\n",
+ "R3=6*2; #rate(%)\n",
+ "T3=3; #time(years)\n",
+ "P4=500; #principal(Rs)\n",
+ "R4=2*2; #rate(%)\n",
+ "T4=5/2; #time(years)\n",
+ "P5=400; #principal(Rs)\n",
+ "R5=3*4; #rate(%)\n",
+ "T5=2/12; #time(years)\n",
+ "P6=730; #principal(Rs)\n",
+ "R6=10; #rate(%)\n",
+ "T6=120/365; #time(years)\n",
+ "\n",
+ "#Calculation\n",
+ "SI1=P1*T1*R1/100; #simple interest in 1st case(Rs)\n",
+ "SI2=P2*T2*R2/100; #simple interest in 2nd case(Rs)\n",
+ "SI3=P3*T3*R3/100; #simple interest in 3rd case(Rs)\n",
+ "SI4=P4*T4*R4/100; #simple interest in 4th case(Rs)\n",
+ "SI5=P5*T5*R5/100; #simple interest in 5th case(Rs)\n",
+ "SI6=P6*T6*R6/100; #simple interest in 1st case(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"simple interest in 1st case is\",SI1,\"Rs\"\n",
+ "print \"simple interest in 2nd case is\",SI2,\"Rs\"\n",
+ "print \"simple interest in 3rd case is\",SI3,\"Rs\"\n",
+ "print \"simple interest in 4th case is\",SI4,\"Rs\"\n",
+ "print \"simple interest in 5th case is\",SI5,\"Rs\"\n",
+ "print \"simple interest in 6th case is\",SI6,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.2, Page number 14.5"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "amount in 1st case is 106.0 Rs\n",
+ "amount in 2nd case is 510.0 Rs\n",
+ "amount in 3rd case is 406.0 Rs\n",
+ "time in 4th case is 5.0 years\n",
+ "simple interest in 5th case is 120.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "P1=100; #principal(Rs)\n",
+ "R1=3; #rate(%)\n",
+ "T1=2; #time(years)\n",
+ "P2=500; #principal(Rs)\n",
+ "R2=6; #rate(%)\n",
+ "T2=4/12; #time(years)\n",
+ "P3=400; #principal(Rs)\n",
+ "R3=3.65; #rate(%)\n",
+ "T3=150/365; #time(years)\n",
+ "A4=540; #amount(Rs)\n",
+ "R4=5; #rate(%)\n",
+ "SI4=108; #simple interest(Rs)\n",
+ "A5=1120; #amount(Rs) \n",
+ "R5=5; #rate(%)\n",
+ "T5=12/5; #time(years)\n",
+ "\n",
+ "#Calculation\n",
+ "A1=P1*(1+(R1*T1/100)); #amount in 1st case(Rs) \n",
+ "A2=P2*(1+(R2*T2/100)); #amount in 2nd case(Rs) \n",
+ "A3=P3*(1+(R3*T3/100)); #amount in 3rd case(Rs) \n",
+ "x=(A4/SI4)-1;\n",
+ "T4=100/(x*R4); #time in 4th case(years)\n",
+ "y=(100/(R5*T5))+1;\n",
+ "SI5=A5/y; #simple interest in 5th case(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"amount in 1st case is\",A1,\"Rs\"\n",
+ "print \"amount in 2nd case is\",A2,\"Rs\"\n",
+ "print \"amount in 3rd case is\",A3,\"Rs\"\n",
+ "print \"time in 4th case is\",T4,\"years\"\n",
+ "print \"simple interest in 5th case is\",SI5,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.3, Page number 14.6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "principal is 1500.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "SI=810; #simple interest(Rs)\n",
+ "R=9; #rate(%)\n",
+ "T=6; #time(years)\n",
+ "\n",
+ "#Calculation\n",
+ "P=100*SI/(R*T); #principal(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"principal is\",P,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.4, Page number 14.6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "rate is 12 1/2 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "from fractions import Fraction\n",
+ "\n",
+ "#Variable declaration\n",
+ "T=8; #time(years)\n",
+ "N=2; #number of times\n",
+ "\n",
+ "#Calculation\n",
+ "R=100*(N-1)/T; #rate(%)\n",
+ "x=R-int(R);\n",
+ "\n",
+ "#Result\n",
+ "print \"rate is\",int(R),Fraction(x),\"%\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.5, Page number 14.6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "principal is 600.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "R=5/2; #rate(%)\n",
+ "T=2; #time(years)\n",
+ "A=630; #amount(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "P=A/(1+(R*T/100)); #principal(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"principal is\",P,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.6, Page number 14.6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "principal is 600.0 Rs\n",
+ "rate is 10.0 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "T1=2; #time(years)\n",
+ "A1=720; #amount(Rs)\n",
+ "T2=2+5; #time(years)\n",
+ "A2=1020; #amount(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "P=((A1*T2)-(A2*T1))/(T2-T1); #principal(Rs)\n",
+ "R=(A2-A1)*100/((A1*T2)-(A2*T1)); #rate(%)\n",
+ "\n",
+ "#Result\n",
+ "print \"principal is\",P,\"Rs\"\n",
+ "print \"rate is\",R,\"%\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.7, Page number 14.6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "rate is 8.0 %\n",
+ "time is 8.0 years\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "P=1; #assume\n",
+ "SI=16*P/25;\n",
+ "\n",
+ "#Calculation\n",
+ "#given T=R\n",
+ "R_2=SI*100;\n",
+ "R=math.sqrt(R_2); #rate(%)\n",
+ "T=R; #time(years)\n",
+ "\n",
+ "#Result\n",
+ "print \"rate is\",R,\"%\"\n",
+ "print \"time is\",T,\"years\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.8, Page number 14.7"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "sum at 5% is 2125.0 Rs\n",
+ "sum at 7% is 375.0 Rs\n",
+ "answer given in the book is wrong\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "P=2500; #principal(Rs)\n",
+ "SI=265; #simple interest(Rs)\n",
+ "T=2; #time(years)\n",
+ "r1=5; #rate(%)\n",
+ "r2=7; #rate(%)\n",
+ "\n",
+ "#Calculation\n",
+ "Rm=100*SI/(T*P); #rate of interest(%)\n",
+ "S1=r2-Rm; #sum borrowed at 5%\n",
+ "S2=Rm-r1; #sum borrowed at 7%\n",
+ "S_5=S1*P/(S1+S2); #sum at 5%(Rs)\n",
+ "S_7=S2*P/(S1+S2); #sum at 7%(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"sum at 5% is\",S_5,\"Rs\"\n",
+ "print \"sum at 7% is\",S_7,\"Rs\"\n",
+ "print \"answer given in the book is wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.9, Page number 14.7"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "principal is 5000.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p1=1/3; #1st part\n",
+ "p2=1/6; #2nd part\n",
+ "r1=3; #rate(%)\n",
+ "r2=6; #rate(%)\n",
+ "r3=8; #rate(%)\n",
+ "SI=600; #simple interest(Rs)\n",
+ "T=2; #time(years)\n",
+ "\n",
+ "#Calculation\n",
+ "p3=1-(p1+p2); #rest part\n",
+ "R=(p1*r1)+(p2*r2)+(p3*r3); #average rate(%)\n",
+ "P=100*SI/(R*T); #principal(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"principal is\",P,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.10, Page number 14.7"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "annual installment is Rs 700.0 per year\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "M=4200; #debt(Rs)\n",
+ "n=5; #number of years\n",
+ "y=1;\n",
+ "r=10; #rate(%)\n",
+ "\n",
+ "#Calculation\n",
+ "x=n*(n-1)/2;\n",
+ "z=x*r/(100*y);\n",
+ "a=M/(n+z); #annual installment(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"annual installment is Rs\",a,\"per year\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.11, Page number 14.7"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "rate is 400.0 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "M=2; #debt(Rs)\n",
+ "n=3; #number of years\n",
+ "y=12;\n",
+ "a=1; #annual installment(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "x=n*(n-1)/2;\n",
+ "z=x*a/(100*y);\n",
+ "r=(-M+(n*a))/z; #rate(%)\n",
+ "\n",
+ "#Result\n",
+ "print \"rate is\",r,\"%\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.12, Page number 14.8"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "amount is 122.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "R1=R2=1; #assume\n",
+ "T1=3; #time(years)\n",
+ "A1=95; #amount(Rs)\n",
+ "T2=5; #time(years)\n",
+ "P1=85; #principal(Rs)\n",
+ "P2=102; #principal(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "A2=((A1-P1)*P2*T2*R2/(P1*R1*T1))+P2; #amount(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"amount is\",A2,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.13, Page number 14.8"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "principal is 700.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "R1_R2=2; #change in rate(%)\n",
+ "SI1_SI2=56; #change in simple interest(Rs)\n",
+ "T=4; #time(years)\n",
+ "\n",
+ "#Calculation\n",
+ "P=100*SI1_SI2/(R1_R2*T); #principal(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"principal is\",P,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.14, Page number 14.8"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "sum lent out is 600.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "R1=8; #rate(%)\n",
+ "R2=1/2; #rate(%)\n",
+ "T1=5; #time(years)\n",
+ "T2=15; #time(years)\n",
+ "P=3800; #principal(Rs) \n",
+ "\n",
+ "P1=T2; #principal(Rs)\n",
+ "P2=2*R1*T1; #principal(Rs)\n",
+ "P1=P1*P/(P1+P2); #sum lent out(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"sum lent out is\",P1,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14.15, Page number 14.8"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "principal is 13.33 Rs\n",
+ "time is 100.0 years\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "R1=5; #rate(%)\n",
+ "A1=80; #amount(Rs)\n",
+ "R2=2; #rate(%)\n",
+ "A2=40; #amount(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "P=((A1*R2)-(A2*R1))/(R2-R1); #principal(Rs)\n",
+ "T=(A2-A1)*100/((A1*R2)-(A2*R1)); #time(years)\n",
+ "\n",
+ "#Result\n",
+ "print \"principal is\",round(P,2),\"Rs\"\n",
+ "print \"time is\",T,\"years\""
+ ]
+ }
+ ],
+ "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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