A mixture contains A and B in the ratio 2 5 7 litres of mixture is replaced by 18 litres of A and th...........

Quant (SSC) Mixture and Alligation

A mixture contains A and B in the ratio 2 : 5. 7 litres of mixture is replaced by 18 litres of A and the new ratio becomes 8 : 11 respectively. What is the amount of A present in the original mixture?

20 litres

18 litres

44 litres

24 litres

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Explanation:

A = 2x, B = 5x
After 7 litres draw out:
A = 2x – (2/7)*7 = 2x – 2 , B = 5x – (5/7)*7 = 5x – 5
After 18 l of A put back, A = (2x – 2) + 18 = 2x +16
So (2x+16)/(5x-5) = 8/11
Solve, x = 12
So A = 2x = 2*12 = 24 litres