Multiple choice

Three containers A, B and C are having mixtures of milk and water in the ratio 1: 5, 3: 5 and 5: 7 respectively. If the capacities of the containers are in the ratio 5: 4: 5, then find the ratio of the milk to the water, if the mixtures of all the three containers are mixed together. तीन कंटेनर A, B और C में दूध और पानी का मिश्रण क्रमशः 1:5, 3:5 और 5:7 के अनुपात में है। यदि कंटेनरों की क्षमता 5: 4: 5 के अनुपात में है, तो दूध का पानी से अनुपात ज्ञात करें, यदि तीनों कंटेनरों के मिश्रण को एक साथ मिलाया जाता है।

  1. 53: 115

  2. 47: 56

  3. 42: 37

  4. 58: 119

  5. None of these इनमे से कोई नही|
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A Correct answer
Explanation

Container A has milk:water = 1:5, capacity ratio 5. Milk in A = 1/(1+5) × 5k = 5k/6. Container B has 3:5, capacity ratio 4. Milk in B = 3/(3+5) × 4k = 12k/8 = 3k/2. Container C has 5:7, capacity ratio 5. Milk in C = 5/(5+7) × 5k = 25k/12. Total milk = 5k/6 + 3k/2 + 25k/12 = 53k/12. Total water = 25k/6 + 5k/2 + 35k/12 = 115k/12. Ratio milk:water = 53:115.

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