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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="alligation.html" name="right"><b>BACK</b></a><font size="5"><center><b>ALLIGATION OR MIXTURES</b></center></font><br><br> <font size="5"><b>SOLVED PROBLEMS</b></font><br><br><br><br> <font size="4"> <b>Simple problems</b>:<br><br>1.In what ratio must rice at Rs 9.30 per Kg be mixed with rice<br> at Rs 10.80 per Kg so that the mixture be worth Rs 10 per Kg?<br>Solution: <br><pre>C.P of 1 Kg rice of 1st kind 930 p C.P of 1 Kg rice of 2n d kind 1080p Mean Price 1000p 80 70</pre><br>Required ratio=80:70 = 8:7<br><br>2.How much water must be added to 60 liters of milk at 11/2 liters<br> for Rs 20 so as to have a mixture worth Rs 10 2/3 a liter?<br><br>Solution:C.P of 1 lit of milk = 20*2/3 = 40/3<br><br><pre>C.P of 1 lit of water 0 C.P of 1 lit of milk 40/3 Mean Price 32/3 8/3 32/3</pre><br>Ratio of water and milk =8/3 : 32/3 = 1:4<br>Quantity of water to be added to 60 lit of milk =1/4*60=15 liters.<br><br><br>3.In what ratio must water to be mixed with milk to gain<br> 20% by selling the mixture at cost price?<br><br>Solution:Let the C.P of milk be Re 1 per liter<br>Then S.P of 1 liter of mixture = Re.1<br>Gain obtained =20%.<br>Therefore C.P of 1 liter mixture = Rs(100/120*1) =5/6<br><br><pre>C.P of 1 liter of water 0 C.P of 1 liter of milk1 Mean Price 5/6 1/6 5/6</pre><br>Ratio of water and milk =1/6 : 5/6 = 1:5.<br><br><br>4.In what ratio must a grocer mix two varieties of pulses<br> costing Rs 15 and Rs 20 per Kg respectively so as to get<br> a mixture worth Rs 16.50 per Kg?<br><br>Solution:<br><pre>Cost of 1 Kg pulses of 1 kind 15 Cost of 1 Kg pulses of 2nd kind 20 Mean Price Rs 16.50 3.50 1.50</pre><br> Required ratio =3.50 : 1.50 = 35:15 = 7:3.<br><br><br>5. 4Kg s of rice at Rs 5 per Kg is mixed with 8 Kg of rice <br>at Rs 6 per Kg .Find the average price of the mixture?<br><br>Solution:<br><br><pre> rice of 5 Rs per Kg rice of 6 Rs per Kg Average price Aw 6-Aw Aw-5</pre><br> (6-Aw)/(Aw-5) = 4/8 =1/2<br> 12-2Aw = Aw-5<br> 3Aw = 17<br> Aw = 5.66 per Kg.<br><br><br>6.5Kg of rice at Rs 6 per Kg is mixed with 4 Kg of rice to<br> get a mixture costing Rs 7 per Kg. Find the price <br>of the costlier rice?<br><br>Solution:Using the cross method:<br><br><pre> rice at Rs 6 per Kg rice at Rs x per Kg Mean price Rs 7 per Kg 5 4</pre><br> x-7:1=5:4<br> 4x-28 = 5<br> 4x=33=>x=Rs 8.25.<br>Therefore price of costlier rice is Rs 8.25 per Kg <br><br><a href="alligation.html" name="right"><b>BACK</b></a><br><br></font></TD></TR></table></html>?? 快捷鍵說明
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