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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>COMPLEX PROBLEMS</u></b></center></font><br><br><font size="4">1.A certain sum amounts to Rs.7350 in 2 yrs and to Rs.8575<br>in 3 yrs.Find the sum and rate%?<br>sol:<br> S.I. on Rs.7350 for 1yr =Rs.(8575-7350)<br> =Rs.1225<br> S.I. on Rs.7350 for 2yrs=Rs.2*1225<br> =Rs.2450<br> PTR/100=2450<br> =>P*2*R/100=2450<br> Since S.I. on Rs.7350 for 1yr =Rs.(8575-7350)<br> =Rs.1225 <br> Rate R=100*1225/(7350*10<br> =16 2/3%<br> Since it is C.I ,Let sum be Rs.X<br> Then X[1+(R/100)]2=7350<br> =>X[1+(50/100)]2=7350<br> =>X=7350*(36/49)<br> Sum=Rs.5400<br><br><br>2.If the difference between C.I compounded halfyearly and S.I on<br> a sum at 10% per annum for one yr is Rs.25 the sum is<br>sol:<br> p[1+((R/2)/100)]2n-PTR/100=25<br> P[1+((10/2)/100)]2n-P*1*10/100=25<br> =>P=Rs.400<br><br><br> 3.A man borrowed Rs.800 at 10 % per annum S.I and immediately lent <br>the whole sum at 10% per annum C.I What does he gain at the end of 2yrs?<br>sol:<br> C.I.=Rs.[800[1+(10/100)2]-800]=Rs.168<br> S.I=Rs.[800*10*2/100]=Rs.160<br> Gain=C.I-S.I=Rs(168-160)<br> =Rs.8<br><br><br>4.On what sum of money will be S.I for 3 yrs at 8% per annum be half<br> of C.I on Rs.400 for 2 yrs at 10% per annum?<br>sol:<br> C.I on Rs.400 for 2yrs at 10%=Rs.[400*[1+(10/100)]2-400]<br> =Rs.84<br> Required S.I =1/2*84=42/-<br> New S.I=Rs.42,Time=3yrs Rate=8%<br> Sum=Rs.[100*42/(3*8)]<br> =Rs.175 <br><br><br>5.A sum of money placed at C.I doubles itself in 5yrs .It will amount to<br> 8 times itself in-------------<br>sol:<br> p[1+(R/100)]5=2P<br> =>[1+(R/100)]5=2<br> To become 8 times =>8P<br> p[1+(R/100)]5=2^3P<br> =[1+(R/100)]^(5*3)<br> =[1+(R/100)]^15<br> n=15years <br><br><br><font size="3"><a href="CI.html" target="right"><strong>BACK</strong></a></font></font></TD></TR></table></html>
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