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Question

A milkman mixes water costing ₹0/litre with milk costing ₹20/litre. If the mixture is sold at ₹16/litre and there is neither gain accrued nor loss incurred in the transaction, find the ratio of milk to water in the mixture.

This question was previously asked in
RRB Group D 2025 Question Paper (18-Aug-2026) (Shift 1)
The correct answer is

4 : 1

No gain and no loss means the cost price of the mixture is ₹16 per litre.

By alligation: milk (₹20) and water (₹0) give mean ₹16.

Milk : water = (16 − 0) : (20 − 16) = 16 : 4 = 4 : 1.

Hence, the answer is 4 : 1.

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Important Questions from Mixture Problems

  1. If the ratio of alcohol and water in a mixture of 85 litres is 11 ∶ 6. How much water should be added to make the ratio 5 ∶ 3?

  2. Two bottles A and B contain diluted acid. In bottle A, the amount of water is double the amount of acid while in bottle B, the amount of acid is 3 times that of water. How much mixture(in litres) should be taken from each bottle A and B respectively in order to prepare 5 liters diluted acid containing an equal amount of acid and water?

  3. A solution of milk and water contains milk and water in the ratio of 3 : 2. Another solution of milk and water contains milk and water in the ratio of 2 : 1. Forty litres of the first solution is mixed with 30 litre of the second solution. The ratio of milk and water in the resultant solution is:

  4. A 70 litre mixture has liquids A and B in the ratio 5 ∶ 9. How many litres of liquid A must be added so that the ratio becomes 2 ∶ 3?

  5. In a mixture of 60 litres, the ratio of milk and water is 2 : 1 respectively. How much more water must be added to make its ratio 1 : 2 respectively?

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