Multiple choice

The ratio between milk and water in two vessels A and B are in the ratio 3 : 5 and 6 : 1 respectively. In what ratio the mixture from both the vessels be mixed in vessles C to get new mixture such that the ratio became 7 : 3. A और B दो पात्रों में दूध और पानी क्रमशः 3: 5 और 6: 1 है। पात्र C में नया मिश्रण प्राप्त करने के लिए दोनों पात्रों के द्रव को किस अनुपात में मिलाया जाय कि अनुपात 7: 3 हो जाय ?

  1. 42 : 37

  2. 44 : 91

  3. 37 :91

  4. 44 : 39
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B Correct answer
Explanation

Vessel A has milk fraction 3/8 = 0.375. Vessel B has milk fraction 6/7 ≈ 0.857. Target milk fraction is 7/10 = 0.7. Using alligation: ratio of A to B = (0.857 - 0.7) : (0.7 - 0.375) = 0.157 : 0.325 = 44:91. Verification: mixing 44 units of A (milk = 16.5) and 91 units of B (milk = 78) gives 94.5 milk out of 135 total, which simplifies to the 7:3 ratio.

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