Multiple choice

In a tank containing 160 litres of solution, the ratio of milk to water is 5 : 3. Now, 40 litres of water is added to the tank. Then, 50 litres of solution is taken out and another solution of 50 litres, in which milk to water ratio is 9 : 1, is added to it. What is the ratio of milk to water in the final solution?

  1. 1 : 1

  2. 3 : 2

  3. 4 : 3

  4. 5 : 3

  5. 5 : 6
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B Correct answer
Explanation

Initial: 100M, 60W. Add 40W: 100M, 100W. Take 50L (ratio 1:1): 25M, 25W removed. Remaining: 75M, 75W. Add 50L (9:1): 45M, 5W added. Final: 120M, 80W. Ratio 120:80 = 3:2.

AI explanation

Initially, the 160 litres contains 100 litres of milk and 60 litres of water; adding 40 litres of water brings the totals to 100 litres of milk and 100 litres of water. Removing 50 litres of this 1:1 solution removes 25 litres of each, leaving 75 litres of milk and 75 litres of water. Adding 50 litres of a 9:1 solution adds 45 litres of milk and 5 litres of water, bringing the final quantities to 120 litres of milk and 80 litres of water, which simplifies to a 3:2 ratio.

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