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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="true.html" target="right"><strong>BACK</strong></a><br><br><font size="5"><center><b><u>SIMPLE PROBLEMS</u></b></center></font><font size="4"><br><br><br><br>1.Find the present worth of Rs.930 due 3 years hence at 8% per <br><br>annum.Aso find the discount?<br><br>Sol: Amount=RS.930,Time=3years,Rate=8%<br><br> TrueDiscount = (Presentworth*Time*Rate)/100<br><br> Presentworth = (Amount*100) /(100+(R*T))<br><br> Presentworth = (930*100)/(100+(8*3)<br><br> =Rs.750<br><br> TrueDiscount = (930*3*8)/(100+(8*3)) =Rs.180 (or)<br><br> TrueDiscount = Amount-Presentworth<br><br> =Rs.930-Rs.750<br><br> =Rs.180<br><br>2.The truediscount on a bill due 9 months hence at 12% per <br><br>annum is Rs540.Find the amount of the bill and its presentworth?<br><br>Sol: Time=9months=9/12years=3/4years<br><br> Rate=12%<br><br> TrueDiscount=Rs540<br><br> TrueDiscount=(Amount*100)/(100+(R*T))<br><br> =>Amount=(TrueDiscount*(100+(R*T))) /100<br><br> =(540*(100+12*(3/4))/100<br><br> =Rs.6540<br><br> Presentworth=Amount-TrueDiscount<br><br> =Rs.6540-Rs540<br><br> =Rs.6000<br><br> 3.The TrueDiscount on a certain sum of money due 3 years hence is Rs.250 <br><br>and SimpeInterest on the same sum for same time and same rate is Rs375<br><br>find sum and rate%?<br><br>Sol: Time=3 years<br><br> Truediscount=Rs.250<br><br> SimpeInterest=Rs375<br><br> Sum = (SimpeInterest*TrueDiscount)/(SimpeInterest-TrueDiscount)<br><br> = (375*250)/(375-250)<br> =Rs.750<br> SimpeInterest=(Principle*Time*Rate)/100<br> 375 = ( 750*3R)/100<br> R=50/3%<br> => Rate=162/3% <br> <br><br>4.The difference between SimpeInterest and TrueDiscount on a certain sum<br> of money for 6 months at 121/2% per annum is Rs25.find the sum.<br><br>Sol: Let amount be Rs.x<br> SimpleInterest=(Amount*T*R)/100<br> TrueDiscount=(Amount*T*R)/(100+(R*T))<br> SI-T.D=Rs25<br> =>((x*6/12*25/2)/100)-((x*6/12*25/2)/(100+(6/12*25/2))=25<br> =>x=Rs.6800<br><br><br>5.The Present worth of Rs.2310 due 21/2yrs henceThe interest being 15%<br> per annum is<br>sol: Amount=Rs2310,Time=21/2yrs,Rate=15% <br><br> Presentworth = (Amount*100) /(100+(R*T))<br><br> =2310*100/(100+15*5/2)<br><br> =Rs1680.<br> <br><br><font size="3"><a href="true.html" target="right"><strong>BACK</strong></a><br><br></font></pre></font></TD></TR></table></html>
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