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 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 April 13th, 2018, 02:14 AM #1 Senior Member   Joined: Aug 2014 From: India Posts: 343 Thanks: 1 When should we draw alligations diagram? 1) Two vessels A and B contains 80% and 75% of alcohol respectively. Ten litres of solution from A is mixed with 20 litres of solution from B. What is the ratio of alcohol of water in the mixture? Solution: Quantity of alcohol in the mixture = $10\dfrac{80}{100} + 20\dfrac {75}{100}$ = 8 + 15 = 23 litres. 30 - 23 = 7 litres The ratio of alcohol to water in the mixture = 23 : 7. 2) A Certain variety of rice which costs 32 /- per kg is mixed with 12 kg of another variety of rice which costs 40 per kg and the mixture is sold at 49 per kg gaining a profit of 40%. Find the quantity of the mixture. Solution: Let the cost price of the mixture per kg be C. $C\times\dfrac {100+40}{100} = 49$ C = 35 So the ratio of the quantities of the first variety that of the second variety = 5: 3 The quantity of mixture = $\displaystyle 12\times\dfrac{8}{3} = 32$ In first problem, alligations diagram is not drawn but in second problem, it is drawn. please tell when should we draw alligations diagram? Last edited by Ganesh Ujwal; April 13th, 2018 at 02:21 AM. Tags alligations, diagram, draw Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post mepoom Probability and Statistics 1 September 12th, 2014 04:54 PM redorion Elementary Math 2 July 8th, 2013 09:54 AM AINtKpkC3BBNn Applied Math 0 October 2nd, 2011 08:16 PM r-soy Physics 7 April 4th, 2011 03:10 PM khalidd Algebra 3 September 5th, 2010 12:41 PM

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