A can contains a mixture of two liquids A and B in the ratio 9 7 when 8 liters of mixture are drawn ...........

Quantitative Aptitude ( CCS) Mixture and Alligation

A can contains a mixture of two liquids A and B in the ratio 9:7 when 8 liters of mixture are drawn off and the can is filled with B,the ratio of A and B becomes 9:8.How many liters of liquid A was contained by the can initially?

70.5 litres

63 litres

76.5 litres

82.5 litres

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Explanation:

Initial = 9x and 7x
Quantity of A in mixture left = (9x- (9/16)*8)
= 9x – (9/2)
Quantity of B in mixture left = (7x – (7/16)*8)
= 7x – (7/2)
[9x – (9/2)]/[7x – (7/2)+8] = 9/8
18x-9/14x + 9 = 9/8
144x-72 = 126x+81
18x=153
X = 153/18 = 8.5
9x = 9*8.5 = 76.5litre