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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="5"><b>SOLVED PROBLEMS</b></font><br><br><br><br> <font size="4"> <b>Medium Problems</b>:<br><br>1.A butler stole wine from a butt of sherry which contained <br>40% of spirit and he replaced,what he had stolen by wine<br> containing only 16% spirit. The butt was then of 24% <br>strength only. How much of the butt did he steal? <br><br>Solution:<br><br><pre>Wine containing 40%spirit Wine containing 16% spirit Wine containing 24% spirit 8 16</pre><br>They must be mixed in the ratio of =1:2.<br><br>Thus 1/3 of the butt of sherry was left and hence the <br>butler drew out 2/3 of the butt.<br> <br>2.The average weekly salary per head of the entire staff <br>of a factory consisting of supervisors and the laborers <br>is Rs 60.The average salary per head of the supervisors <br>is Rs 400 and that of the laborers is Rs 56.Given that <br>the number of supervisors is 12.Find the number of<br> laborers in the factory.<br>Solution:<br><pre>Average salary of laborer Rs 56 Average salary of supervisors Rs 400 Average salary of entire staff Rs 60 340 4</pre><br>Number of laborer / Number of Supervisors = 340 / 4=85/1<br>Thus,if the number of supervisors is 1,number of laborers =85.<br>Therefore if the number of supervisors is 12 number of laborers <br> 85*12=1020.<br><br><br>3.The cost of type 1 rice is Rs 15 per Kg and type 2 rice <br>is Rs 20 per Kg. If both type1 and type 2 are mixed in the<br> ratio of 2:3,then the price per Kg of the mixed variety <br>of rice is?<br><br>Solution:Let the price of the mixed variety be Rs x per Kg.<br><br><pre>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</pre><br> (20-x) /( x-15) = 2/3 <br> => 60-3x = 2x-30<br> 5x = 90=>x=18.<br><br>4.In what ratio must a grocer mix two varieties of tea worth<br> Rs 60 a Kg and Rs 65 a Kg so that by selling the mixture<br> at Rs 68.20 a Kg he may gain 10%?<br><br>Solution:S.P of 1 Kg of the mixture = Rs 68.20,gain =10%<br>S.P of 1 Kg of the mixture = Rs (100/110*68.20)=Rs 62.<br><br><pre>Cost of 1 Kg tea of 1st kind 60 Cost of 1 Kg tea of 2nd kind 65 Mean Price Rs 62 3 2</pre><br>Required ratio =3:2.<br><br>5.A dishonest milkman professes to sell his milk at cost price <br>but he mixes t with water and there by gains 25% .The percentage <br>of water in the mixture is?<br><br>Solution:Let C. P of 1 liter milk be Re 1.<br>Then S.P of 1 liter mixture=Re 1. Gain=25%<br>C.P of 1 liter mixture =Re(100/125*1) = Re 4/5.<br><br><pre>C.P of 1 liter milk Re 1 C.P of 1 liter of water 0 Mean Price 4/5 4/5 1/5</pre><br>Ratio of milk to water =4/5 : 1/5 = 4:1<br>Hence percentage of water n the mixture=1/5*100=20%.<br><br><br>12.A merchant has 1000Kg of sugar,part of which he sells at 8% <br>profit and the rest at 18% profit. He gains 14% on the whole.<br>The quantity sold at 18% profit is?<br><br>Solution:<br><br><pre>Profit on 1st part 8% Profit on 2nd part 18% Mean Profit 14% 4 6</pre><br>Ratio of 1st and 2nd parts =4:6 =2:3.<br>Quantity of 2nd ind =3/5*1000Kg =600 Kg.<br><br><br>6.A jar full of whiskey contains 40% alcohol. A part of <br>this whiskey is replaced by another containing 19% alcohol <br> and now the percentage of alcohol was found to be 26%.<br>The quantity of whiskey replaced is?<br><br>Solution:<br><pre>Strength of first jar 40% Strength of 2nd jar 19% Mean Strength 26% 7 14</pre><br>So,ratio of 1st and 2nd quantities =7:14 =1:2<br>Therefore required quantity replaced =2/3. <br><br>7.A container contains 40lit of milk. From this container <br>4 lit of milk was taken out and replaced by water.<br> This process was repeated further two times. <br>How much milk is now contained by the container?<br><br>Solution:Amount of milk left after 3 operations = 40(1-4/40)3lit<br> =(40*9/10*9/10*9/10) <br> = 29.16 lit<br><br><a href="alligation.html" ><b>BACK</b></a> <br><br></font></TD></TR></table></html>⌨️ 快捷键说明
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