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Question

Three containers have their volumes in the ratio 3: 4 : 5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4: 1), (3 : 1) and (5 : 2) respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is

A
4 : 1
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B
151 : 48
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C
157 : 53
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D
5 : 2
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Solution

The correct option is C 157 : 53
Suppose the ratio of three container =3x,4xand5x
Ratio of milk and water =4a,a,3b,band5c,2c respectively
then
4a+a=3xa=35x
3b+b=4xb=x
5c+2c=5xc=57x
amountofmilkinfourthcontainer=4×35x+3x+5×57x
125x+3x+257x=31435x
Similarly amount of water in the fourth container =35x+x+2×57x=10635x
RequiredRatio=314106=15753=157:53

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