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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# 17: Banker's discount"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 17.1, Page number 17.2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "true discount is 50.0 Rs\n",
+ "banker's discount is 51.0 Rs\n",
+ "banker's gain is 1.0 Re\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "P=2550; #principal(Rs)\n",
+ "R=8; #rate(%)\n",
+ "T=3/12; #time(yrs)\n",
+ "\n",
+ "#Calculation\n",
+ "TD=P*R*T/(100+(R*T)); #true discount(Rs)\n",
+ "BD=P*R*T/100; #banker's discount(Rs)\n",
+ "BG=BD-TD; #banker's gain(Re)\n",
+ "\n",
+ "#Result\n",
+ "print \"true discount is\",TD,\"Rs\"\n",
+ "print \"banker's discount is\",BD,\"Rs\"\n",
+ "print \"banker's gain is\",BG,\"Re\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 17.2, Page number 17.2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "principal is 1055.0 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",
+ "R=6; #rate(%)\n",
+ "T=11/12; #time(yrs)\n",
+ "BD=58.025; #banker's discount(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "P=BD*100/(R*T); #principal(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"principal is\",P,\"Rs\"\n",
+ "print \"answer given in the book is wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 17.3, Page number 17.2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "banker's discount is 20.6 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "R=4; #rate(%)\n",
+ "T=9/12; #time(yrs)\n",
+ "TD=20; #true discount(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "BD=TD*(1+(R*T/100)); #banker's discount(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"banker's discount is\",BD,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 17.4, Page number 17.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "banker's gain is 3.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "R=3; #rate(%)\n",
+ "T=2; #time(yrs)\n",
+ "TD=50; #true discount(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "BG=TD*R*T/100; #banker's gain(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"banker's gain is\",BG,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 17.5, Page number 17.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "time is 1.0 yr\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "P1=1000; #principal(Rs)\n",
+ "P2=1050; #principal(Rs)\n",
+ "R=5; #rate(%)\n",
+ "\n",
+ "#Calculation\n",
+ "T=((P2*R*100/(P1*R))-100)/R; #time(yrs)\n",
+ "\n",
+ "#Result\n",
+ "print \"time is\",T,\"yr\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 17.6, Page number 17.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "banker's discount is 108.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "TD=90; #true discount(Rs)\n",
+ "P=540; #principal(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "BD=((TD**2)/(P-TD))+TD; #banker's discount(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"banker's discount is\",BD,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 17.7, Page number 17.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "principal is 1650.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "R=5; #rate(%)\n",
+ "T=2; #time(yrs)\n",
+ "BG=15; #banker's gain(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "P=BG*100*(100+(R*T))/((R*T)**2); #principal(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"principal is\",P,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 17.8, Page number 17.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "present worth of bill is 2000.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "R=2; #rate(%)\n",
+ "T=5; #time(yrs)\n",
+ "BG=20; #banker's gain(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "PW=BG*(100**2)/((R*T)**2); #present worth of bill(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"present worth of bill is\",PW,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 17.9, Page number 17.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "true discount is 500.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "BG=25; #banker's gain(Rs)\n",
+ "PW=10000; #present worth of bill(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "TD=math.sqrt(PW*BG); #true discount(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"true discount is\",TD,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 17.10, Page number 17.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "sum is 120.0 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",
+ "BD=40; #banker's discount(Rs) \n",
+ "TD=30; #true discount(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "P=BD*TD/(BD-TD); #sum(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"sum is\",P,\"Rs\"\n",
+ "print \"answer given in the book is wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 17.11, Page number 17.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "rate is 7.0 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "BD=1; #assume\n",
+ "BG=(7/57)*BD; #banker's gain(Rs)\n",
+ "T=2; #time(yrs)\n",
+ "\n",
+ "#Calculation\n",
+ "R=BG*100/((BD-BG)*T); #rate(%)\n",
+ "\n",
+ "#Result\n",
+ "print \"rate is\",R,\"%\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 17.12, Page number 17.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "rate is 2.0 %\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "BDbyTD=21/20; #ratio of BD and TD\n",
+ "T=5/2; #time(yrs)\n",
+ "\n",
+ "#Calculation\n",
+ "R=(BDbyTD-1)*100/T; #rate(%)\n",
+ "\n",
+ "#Result\n",
+ "print \"rate is\",R,\"%\""
+ ]
+ }
+ ],
+ "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
+}
generated by cgit (git 2.34.1) at 2025-01-08 20:12:29 +0000