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Multiple Choice Questions

The milk and water in two vessels A and B are in the ratio 4 3 and 2 3 respectively In what ratio t...........

Elelmentary Mathematics (UPPCS) Mixture and Alligation

The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?

8:3

7:5

4:3

2:3

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Explanation:

Milk in 1 litre mixture of A = 4/7 litre.
Milk in 1 litre mixture of B = 2/5 litre.
Milk in 1 litre mixture of C = 1/2 litre.
By rule of alligation we have required ratio X:Y

X : Y

4/7 2/5

\ /

(Mean ratio)
(1/2)

/ \

(1/2 – 2/5) : (4/7 – 1/2)

1/10 1/1 4

So Required ratio = X : Y = 1/10 : 1/14 = 7:5

Hence, option 3 is the correct answer.

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