A drum has a combination of 2 liquids X and Y in the proprtion 7 5 when 9 L of combination are taken...........

Quantitative Aptitude ( CCS) Mixture and Alligation

A drum has a combination of 2 liquids X and Y in the proprtion 7:5 when 9 L of combination are taken out and the Drum is filled with Y, the proportion of X and Y becomes 7:9. Then how many litres of liquids X was obtained by the Drum initially?

11 ltr

12 ltr

21 ltr

22 ltr

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Explanation:

=> If the Drum has 7a and 5a litres of combinations X and Y correspondingly. Amount of Combination taken out is 9 litres
Some of X in Combination left = [ 7a – (7/12)*9] litres
= [ 7a – (21/4) ] litres
Some of Y in combination left = [ 5a – (5/12)*9 ] litres
= [ 5a – (15/4) ] litres
=> Since the combination is in the ratio 7:9,
{ [7a – (21/4)] / [ 5a – (15/4) ]+9 } = (7/9) => [ (28a – 21) / (20a + 21) ] = (7/9)
=>252a – 189 = 140a + 147
=> 112a = 336
=> a = 3
Some of liquid X, has in the Drum initially is (7*3) = 21 litres