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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" target="right"><strong>Decimal Fractions</strong></a></TR><br><TR><a href="simplification.html"><strong>Simplification</strong></a></TR><br><TR><a href="squareandcuberoot.html" target="right"><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" target="right"><strong>Percentage</strong></a></TR><br><TR><a href="profitandloss.html" target="right"><strong>Profit and Loss</strong></a></TR><br><TR><a href="ratioandproportion.html" target="right"><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" target="right"><strong>Time and Work</strong></a></TR><br><TR><a href="pipesandcisterns.html" target="right"><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" target="right"><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" target="right"><strong>Simple Interest</strong></a></TR><br><TR><a href="CI.html" target="right"><strong>Compound Interest</strong></a></TR><br><TR><a href=""><strong>Logorithms</strong></a></TR><br><TR><a href="areas.html" target="right"><strong>Areas</strong></a></TR><br><TR><a href="volume.html" target="right"><strong>Volume and Surface area</strong></a></TR><br><TR><a href="races.html" target="right"><strong>Races and Games of Skill</strong></a></TR><br><TR><a href="calendar.html" target="right"><strong>Calendar</strong></a></TR><br><TR><a href="clocks.html" target="right"><strong>Clocks</strong></a></TR><br><TR><a href="" target="right"><strong>Stocks ans Shares</strong></a></TR><br><TR><a href="true.html" target="right"><strong>True Discount</strong></a></TR><br><TR><a href="banker1.html" target="right"><strong>Bankers Discount</strong></a></TR><br><TR><a href="oddseries.html" target="right"><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" target="right" ><strong>Permutations and Combinations</strong></a></TR><br><TR><a href="pinkivijji_puzzles.html" target="right"><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>COMPLEX PROBLEMS</u></b></center></font><br><br><font size="4">1.If Rs.10 be allowed as truedscount on a bill of Rs.110 at the <br>end of a certaimn time ,then discount allowed on the same sum <br>due at the end of double the time..<br>sol:<br> Amount=Rs110<br> TrueDiscount=Rs10<br> Present worth=Amount-TrueDiscount<br> =Rs110-10<br> =Rs.100<br> SI on Rs.100 for a certain time =Rs.10<br> SI on Rs.100 for doube the time =Rs.20<br> TrueDiscount on (100+20)=120-100<br> =Rs20<br> TrueDiscount on Rs.110 =(110*20)/120<br> =Rs18.33<br><br><br>2.A man wants to se hs scooter .There are two offers one at<br> Rs12000 cash and other at acredit of Rs12880 to be paid <br>after 8 months ,money being at 18% per annum which is better offer?<br> Sol:<br> offer1=Rs12000<br> offer2 Present worth= (Amount*100) /(100+(R*T))<br> =Rs.12880*100/(100+(18*(8/12))<br> =Rs11,500<br> The first offer is better as if he gains 500/- <br> if he sells at Rs.12000 is better<br><br><br>3.Goods were bought for Rs.600 and sold the same day for <br>Rs.688.80 at a credit of 9 months and thus gaining 2% <br>rate of interest per annum is<br> sol: <br> MethodI:<br> Amount=Rs.688.50<br> Time=9.12<br> Gaining 2%----------->Presentworth=102%of 600=(102*600)/100<br> =Rs.612<br> Presentworth=(Amount*100)/(100+(T*R))<br> 612=(688.80*100)/(100+((9/2)*R))<br> =>R=162/3%<br> MethodII:<br> TrueDiscount=688.50-612<br> =Rs.76.50<br> Rate=TrueDiscount*100/(P.W*T)<br> =(76.50*100)/(612*(9/12))<br> =162/3%<br><br><br>4.The present worth of Rs.1404 due in 2 equal halfyearly instalments <br>at 8% per annu8m S.I is <br>SOl:<br> Presentworth=(Amount*100)/(100+(T*R))<br> PresentWorth=Presentworth of Rs.702 6 months hence +<br> Presentworth of Rs.702 1yr hence<br> = (702*100)/(100+(1/2*8)) + (702t*100)/(100+(1*8))<br> =Rs.1325<br><br><br><font size="3"><a href="true.html" target="right"><strong>BACK</strong></a></font></pre></font></TD></TR></table></html>
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