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A container contains two liquids A and B in the ratio 8:5. When 13 litres of the mixture is drawn off and completely replaced with liquid B, the ratio of A and B in the container becomes 1:1. How many litres of liquid A were in the container initially?

1. 128/3 litre
2. 117 litres
3. 134/3 litre
4. 121/3 litre

Correct answer: 128/3 litre

Solution

Since the initial ratio of A:B is 8:5, if the total mixture is x litres, then A = 8x/13 and B = 5x/13. Removing 13 litres removes A and B in the same ratio, and replacing it with pure B increases only B. Using the final ratio A:B = 1:1 gives the total initial quantity as 128/3 litres of A.

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