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<html><table height="500" width="1000" border="2"><TR height="5" width="1000"><strong><center><h2>APTITUDE</h2></center></strong></TR><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="numbers.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="4"><b>SOLVED PROBLEMS</b></font><br><br><br><br> Simple problems:1.In what ratio must rice at Rs 9.30 per Kg be mixed with rice at Rs 10.80 per Kg so that the mixture be worth Rs 10 per Kg?Solution: 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 70Required ratio=80:70 = 8:72.How much water must be added to 60 liters of milk at 11/2 liters for Rs 20 so as to have a mixture worth Rs 10 2/3 a liter?Solution:C.P of 1 lit of milk = 20*2/3 = 40/3C.P of 1 lit of water 0 C.P of 1 lit of milk 40/3 Mean Price 32/3 8/3 32/3Ratio of water and milk =8/3 : 32/3 = 1:4Quantity of water to be added to 60 lit of milk =1/4*60=15 liters.3.In what ratio must water to be mixed with milk to gain 20% by selling the mixture at cost price?Solution:Let the C.P of milk be Re 1 per literThen S.P of 1 liter of mixture = Re.1Gain obtained =20%.Therefore C.P of 1 liter mixture = Rs(100/120*1) =5/6C.P of 1 liter of water 0 C.P of 1 liter of milk1 Mean Price 5/6 1/6 5/6Ratio of water and milk =1/6 : 5/6 = 1:5.4.In what ratio must a grocer mix two varieties of pulses costing Rs 15 and Rs 20 per Kg respectively so as to get a mixture worth Rs 16.50 per Kg?Solution: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 Required ratio =3.50 : 1.50 = 35:15 = 7:3.5. 4Kg s of rice at Rs 5 per Kg is mixed with 8 Kg of rice at Rs 6 per Kg .Find the average price of the mixture?Solution: rice of 5 Rs per Kg rice of 6 Rs per Kg Average price Aw 6-Aw Aw-5 (6-Aw)/(Aw-5) = 4/8 =1/2 12-2Aw =Aw-5 3Aw = 17 Aw = 5.66 per Kg.6.5Kg of rice at Rs 6 per Kg is mixed with 4 Kg of rice to get a mixture costing Rs 7 per Kg. Find the price of the costlier rice?Solution:Using the cross method: rice at Rs 6 per Kg rice at Rs x per Kg Mean price Rs 7 per Kg 5 4 x-7 : 1 = 5 : 4 4x-28 = 5 4x=33=>x=Rs 8.25.Therefore price of costlier rice is Rs 8.25 per Kg Medium Problems:7.A butler stole wine from a butt of sherry which contained 40% of spirit and he replaced,what he had stolen by wine containing only 16% spirit. The butt was then of 24% strength only. How much of the butt did he steal? Solution:Wine containing 40%spirit Wine containing 16% spirit Wine containing 24% spirit 8 16They must be mixed in the ratio of =1:2.Thus 1/3 of the butt of sherry was left and hence the butler drew out 2/3 of the butt. 8.The average weekly salary per head of the entire staff of a factory consisting of supervisors and the laborers is Rs 60.The average salary per head of the supervisors is Rs 400 and that of the laborers is Rs 56.Given that the number of supervisors is 12.Find the number of laborers in the factory.Solution:Average salary of laborer Rs 56 Average salary of supervisors Rs 400 Average salary of entire staff Rs 60 340 4Number of laborer / Number of Supervisors = 340 / 4=85/1Thus,if the number of supervisors is 1,number of laborers =85.Therefore if the number of supervisors is 12 number of laborers 85*12=1020.9.The cost of type 1 rice is Rs 15 per Kg and type 2 rice is Rs 20 per Kg. If both type1 and type 2 are mixed in the ratio of 2:3,then the price per Kg of the mixed variety of rice is?Solution:Let the price of the mixed variety be Rs x per Kg.Cost of 1 Kg of type 1 rice Rs 15 Cost of 1 Kg of type 2 rice Rs 20 Mean Price Rs x 20-x x-15 (20-x) /( x-15) = 2/3 => 60-3x = 2x-30 5x = 90=>x=18.10.In what ratio must a grocer mix two varieties of tea worth Rs 60 a Kg and Rs 65 a Kg so that by selling the mixture at Rs 68.20 a Kg he may gain 10%?Solution:S.P of 1 Kg of the mixture = Rs 68.20,gain =10%S.P of 1 Kg of the mixture = Rs (100/110*68.20)=Rs 62.Cost of 1 Kg tea of 1st kind 60 Cost of 1 Kg tea of 2nd kind 65⌨️ 快捷键说明
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