Multiple choice

Two vessels A and B, each with the capacity of 8 litres, are full of solutions of acid and water. The ratio of acid and water in Vessel A is 3 : 1 and that in Vessel B is 5 : 3. Two litres of solution are taken out from B and added to A. After mixing thoroughly, 2 litres of solution are taken out from A and added to B. What is the ratio of acid and water in the final solution in B?

  1. 13 : 7

  2. 12 : 5

  3. 9 : 7

  4. 11 : 9
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A Correct answer
Explanation

Vessel A initially has 6L acid and 2L water (3:1 ratio). Vessel B has 5L acid and 3L water (5:3 ratio). After transfers, B receives acid-rich mixture from A then loses some solution. Final calculation shows B has 13 parts acid to 7 parts water. This is a two-step mixture problem requiring careful tracking of quantities after each transfer.

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