Multiple choice

Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C. दूध तथा पानी को बर्तन A में 4 : 1 के अनुपात में और बर्तन B में 3 : 2 के अनुपात में मिलाया गया | यदि बर्तन A और बर्तन B से सामान मात्रा में मिश्रण एक बर्तन C में लिया जाय तो उसमे दूध तथा पानी का अनुपात ज्ञात कीजिये|

  1. 3 : 7

  2. 10 : 7

  3. 7 : 10

  4. 7 : 3

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D Correct answer
Explanation

Vessel A has ratio 4:1 (milk:water), so in any quantity from A, milk is 4/5 and water is 1/5. Vessel B has ratio 3:2, so milk is 3/5 and water is 2/5. Taking x liters from each: Milk from A = 4x/5, Milk from B = 3x/5, Total milk = 7x/5. Water from A = x/5, Water from B = 2x/5, Total water = 3x/5. The ratio in C is (7x/5):(3x/5) = 7:3. Options A, B, and C have incorrect milk-to-water ratios.