Two vessels A and B contain mixture of milk and water in ratios 3:4 and 4:1 respectively. In what ratio should quantities of mixture be taken from A and B to form a mixture in which milk to water is in the ratio 5:2?
(A) 3:10
(B) 10:3
(C) 5:7
(D) 7:5
Answer: (A)
Explanation: Acc. to question
Milk Water total
Mixture A 3x5 : 4x5 -> 7 LCM(7, 5, 7)=35
Mixture B 4x7 : 1x7 -> 5
Final mixture 5x5 : 2x5 -> 7
To make quantity equal of both multiply with 7 and 5 respectively.
Milk Water
Mixture A 15 : 20
Mixture B 28 : 7
Final mixture 25 : 10
To obtain the ratio in which A and B mixed we apply alligation rule
Hence, the required ratio is 3:10.
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