A can contains milk and water in the ratio 3 1 A part of this mixture is replaced with milk and now ...........

Quant (SSC) Mixture and Alligation

A can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?

9/19

8/19

6/17

3/19

छोटे Courses बड़े Results

Master Mixture and Alligation

Prepare through Micro-courses

Try Now

Explanation:

Let total original quantity = x litres, Let y litres replaced.
After y litres of mixture drawn out,
Milk = [3/(3+1)] * x – [3/(3+1)] * y
Water = [1/(3+1)] * x – [1/(3+1)] * y
Now y litres of milk poured in can.
Milk becomes (3/4)*x – (3/4)*y +y = (3/4)*x +(1/4)*y
Now [(3/4)*x +(1/4)*y] / [(1/4)*x – (1/4)*y] = 15/4
Solve, y = (3/19)* x
So 3/19 of original mixture removed.