
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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April 13th, 2018, 03:14 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 03:21 AM. 

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