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📁 aptitude book by r s aggarwal
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<html><table height="500" width="1000" border="2"><TR height="5" width="1000"><strong><center><marquee><font color="Green"><h1>APTITUDE</h1></center></strong></font></TR></marquee><TR><TD align="left" width="200" valign="top"><table><TR><a href="numbers.html"><strong>Numbers</strong></a></TR><br><TR><a href="hcf.html"><strong>H.C.F and L.C.M</strong></a></TR><br><TR><a href="dec.html" ><strong>Decimal Fractions</strong></a></TR><br><TR><a href="simplification.html"><strong>Simplification</strong></a></TR><br><TR><a href="squareandcuberoot.html" ><strong>Square and Cube roots</strong></a></TR><br><TR><a href="average.html" ><strong>Average</strong></a></TR><br><TR><a href="pnumbers.html" ><strong>Problems on Numbers</strong></a></TR><br><TR><a href="problemsonages.html"><strong>Problems on Ages</strong></a></TR><br><TR><a href="surdsandindices.html"><strong>Surds and Indices</strong></a></TR><br><TR><a href="percent.html" ><strong>Percentage</strong></a></TR><br><TR><a href="profitandloss.html" ><strong>Profit and Loss</strong></a></TR><br><TR><a href="ratioandproportion.html" ><strong>Ratio And Proportions</strong></a></TR><br><TR><a href="partnership.html"><strong>Partnership</strong></a></TR><br><TR><a href="chainrule1.html"><strong>Chain Rule</strong></a></TR><br><TR><a href="timeandwork.html" ><strong>Time and Work</strong></a></TR><br><TR><a href="pipesandcisterns.html" ><strong>Pipes and Cisterns</strong></a></TR><br><TR><a href="timeanddistance.html"><strong>Time and Distance</strong></a></TR><br><TR><a href="trains.html" ><strong>Trains</strong></a></TR><br><TR><a href="boats.html"><strong>Boats and Streams</strong></a></TR><br><TR><a href="alligation.html"><strong>Alligation or Mixture </strong></a></TR><br><TR><a href="simple.html" ><strong>Simple Interest</strong></a></TR><br><TR><a href="CI.html"><strong>Compound Interest</strong></a></TR><br><TR><a href=""><strong>Logorithms</strong></a></TR><br><TR><a href="areas.html" ><strong>Areas</strong></a></TR><br><TR><a href="volume.html"><strong>Volume and Surface area</strong></a></TR><br><TR><a href="races.html" ><strong>Races and Games of Skill</strong></a></TR><br><TR><a href="calendar.html" ><strong>Calendar</strong></a></TR><br><TR><a href="clocks.html" ><strong>Clocks</strong></a></TR><br><TR><a href="" ><strong>Stocks ans Shares</strong></a></TR><br><TR><a href="true.html" ><strong>True Discount</strong></a></TR><br><TR><a href="banker1.html" ><strong>Bankers Discount</strong></a></TR><br><TR><a href="oddseries.html"><strong>Oddmanout and Series</strong></a></TR><br><TR><a href=""><strong>Data Interpretation</strong></a></TR><br><TR><a href="probability.html"><strong>probability</strong></a></TR><br><TR><a href="percom1.html"  ><strong>Permutations and Combinations</strong></a></TR><br><TR><a href="pinkivijji_puzzles.html" ><strong>Puzzles</strong></a></TR></table></TD><TD valign="top"><a href="CI.html" target="right"><strong>BACK</strong></a><br><br><font size="5"><center><b><u>MEDIUM PROBLEMS</u></b></center></font><br><br><font size="4">1.The difference between C.I and S.I. on a certain sum at 10% per annum <br>for 2 yrs is Rs.631.find the sum<br>Sol:<br>          MethodI:<br>             NOTE:<br>                      a) For 2 yrs -------->sum=(1002D/R2)<br>                      b) For 3 yrs -------->sum=(1003D/R2(300+R))<br>                         Sum=1002*631/102 <br>                            =Rs.63100<br>          MethodII:<br>                  Let the sum be Rs.X,Then <br>                      C.I.=X[1+(10/100)]2-X<br>                      S.I=(X*10*2)/100<br>                         =X/5<br>                      C.I-S.I.=21X/100-X/5<br>                              =X/100<br>                      X/100=631<br>                      X=Rs.63100<br><br><br>2.If C.I on a certain sum for 2 yrs at 12% per annum is Rs.1590.<br>What would be S.I?<br>sol:<br>                  C.I.=Amount-Principle<br>                Let P be X<br>                  C.I=X[1+(12/100)]2-X<br>                        =>784X/625-X=1590<br>                        =>X=Rs.6250<br>                  S.I=(6250*12*2)/100=Rs.1500<br><br><br>3.A sum of money amounts to Rs.6690 after 3 yrs and to Rs.10035b<br> after 6 yrs on C.I .find the sum<br>sol:<br>                         For 3 yrs,<br>                             Amount=P[1+(R/100)]3=6690-----------------------(1)<br>                               For 6 yrs,<br>                                Amount=P[1+(R/100)]6=10035----------------------(2)<br>                                                                        (1)/(2)------------[1+(R/100)]3=10035/6690<br>                                                        =3/2<br>                                      [1+(R/100)]3=3/2-----------------(3)<br>                              substitue (3) in (1)<br>                              p*(3/2)=6690<br>                              =>p=Rs.4460<br>                              sum=Rs.4460<br><br><br>4.A sum of money doubles itself at C.I in 15yrs.In how many yrs will it <br>become 8 times?<br>sol:  <br>            Compound Interest for 15yrs         p[1+(R/100)]15     <br>                   p[1+(R/100)]15=2P<br>                        =>p[1+(R/100)]n=8P<br>                        =>[1+(R/100)]n=8<br>                        =>[1+(R/100)]n=23<br>                        =>[1+(R/100)]n=[1+(R/100)]15*3<br>                     since        [1+(R/100)] =2<br>                                 n=45yrs<br><br><br>5.The amount of Rs.7500 at C.I at 4% per annum for 2yrs is<br>sol:<br>              Iyear------------------7500+300(300------Interest on 7500)<br>              IIyear ----------------7500+300+12(12------------4% interest on 300)<br>                Amount=7500+300+300+12<br>                      =Rs.8112<br><br><br>6.The difference between C.I and S.I on a sum of money for 2 yrs at<br> 121/2% per annum is Rs.150.the sum is<br>sol:<br>                 Sum=1002D/R2=( 1002*150) /(25/2)2=Rs.9600<br><br><br>7.If the S.I on sum of money at 15% per annum for 3yrs is Rs.1200,<br>the C.I on the same sum for the same period at same rate is---------<br>sol:<br>                   S.I=1200<br>                    P*T*R/100=1200<br>                    P*3*5/100=1200<br>                   =>P=Rs.8000<br>C.I for Rs.8000 at 5% for 3 yrs is-------------8000+400<br>                                  -------------8000+400+20<br>                                  -------------8000+400+20+20+1<br>                   C.I =400+400+20+400+20+20+1<br>                       =Rs.1261<br><br><br><font size="3"><br><a href="CI.html" target="right"><strong>BACK</strong></a></font></font></TD></TR></table></html>

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