X and Y contain 35 litres and 50 litres of mixtures of liquids A and B respectively. The total quantity of B in both the mixtures is 30 litres. Quantity of A in mixture X is 15 litres less than the quantity of A in mixture Y. If 20% of the liquid is taken from mixture X and put into mixture Y, then what will be the ratio of A to B in mixture Y?

X and Y contain 35 litres and 50 litres of mixtures of liquids A and B respectively. The total quantity of B in both the mixtures is 30 litres. Quantity of A in mixture X is 15 litres less than the quantity of A in mixture Y. If 20% of the liquid is taken from mixture X and put into mixture Y, then what will be the ratio of A to B in mixture Y? Correct Answer 13 : 6

Let the quantity of liquid A in mixture X = x litres

∴ The quantity of liquid A in mixture Y = x + 15 litres

∴ x + x + 15 + 30 = 50 + 35

⇒ 2x = 40

⇒ x = 20 litres

Quantity of A in X = 20 litres

Quantity of B in X = 35 – 20 = 15 litres

Quantity of A in Y = 20 + 15 = 35 litres

Quantity of B in Y = 15 litres

∴ Required ratio = :

⇒ :

⇒ 13 : 6

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