Exams › SSC CGL (Prelims) › General

A container has liquids X, Y, and Z in the ratio 4:6:5. If 20 litres are removed and then 10 litres of X and 15 litres of Y are added, the new quantity of Y becomes 25 litres more than the new quantity of X. What was the initial total quantity?

1. 100L
2. 120L
3. 170L
4. 150L

Correct answer: 170L

Solution

Let initial quantities be 4x, 6x, and 5x, so total = 15x. After removing 20 litres from the mixture, the remaining amounts are reduced proportionally by the same fraction. Then 10 litres of X and 15 litres of Y are added, and the condition on new Y and X gives an equation in x. Solving it yields x = 10/3, so total = 15x = 170 litres.

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