A mixture contains milk and water in the ratio 2 3 and the other contains them in the ratio 3 1 resp...........

Quantitative Aptitude ( CCS) Mixture and Alligation

A mixture contains milk and water in the ratio 2 : 3 and the other contains them in the ratio 3 : 1 respectively. What weight of 2nd mixture must be taken so as to make a third mixture 7 litres in weight with 70% milk?

1 litre

4 litres

6 litres

10 litres

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Explanation:

70/100 = 7/10
Milk in first = 2/(2+3) = 2/5, milk in second = 3/(3+1) = 3/4
By method of allegation:
2/5 3/4
7/10
3/4 – 7/10 7/10 – 2/5
1/20 : 3/10
1 : 6
So in 3rd mixture, 2nd mixture is [6/(1+6)] * 7 = 6 litre