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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?
7:5
5:7
2:3
3:2
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
Required ratio = X : Y = 1/10 : 1/14 = 7:5
Hence, option 1 is the correct answer.
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