Vessel A contains milk and water in the ratio 4 : 5. Vessel B contains milk and water in the ratio 2 : 1. If x litres mixture of A is mixed with y litres mixture of B, then the ratio of milk to water in the mixture becomes 8 : 5. Find the ratio x : y.

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SSC CGL 2024 Tier-II Official Paper-I (Held On: 18 Jan, 2025)
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  1. 5 : 6
  2. 3 : 10
  3. 2 : 5
  4. 3 : 4

Answer (Detailed Solution Below)

Option 2 : 3 : 10
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Detailed Solution

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Given:

Vessel A contains milk and water in the ratio 4:5.

Vessel B contains milk and water in the ratio 2:1.

If x litres mixture of A is mixed with y litres mixture of B, then the ratio of milk to water in the mixture becomes 8:5.

Formula used:

Milk in A =

Water in A =

Milk in B =

Water in B =

Total Milk/Total Water =

Calculation:

 

∴ The correct answer is option (2).

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