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In a mixture of 40 litres, the ratio of milk and water is 3 : 2. How many litres of milk must be added to make the ratio 4 : 1?

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In a mixture of 40 litres, the ratio of milk and water is 3 : 2. How many litres of milk must be added to make the ratio 4 : 1?
1). 45
2). 40
3). 35
4). 30


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3 vote
Answered by on | Votes 3 |

Let ‘a’ be the number of litres of milk to be added. Given the ratio of milk and water before and after mixing with milk as 3 : 2 and 4 : 1 respectively.

Equating the quantity of milk present in the ingredients to the final mixture we have,

0.6 × 40 + a = 0.8 × (40 + a)

⇒ 0.2 × a = 0.2 × 40

⇒ a = 40

∴ Quantity of milk to be added is 40 litres.

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