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ExamsSSC CGL (Prelims)General

A tank holds liquids A, B and C mixed in the ratio 8 : 6 : 4. First, 30 litres of the mixture is removed; then 12 litres of A and 8 litres of C are poured in. In the resulting mixture, the amount of A exceeds the amount of B by 20 litres. Find the original total volume of liquid in the tank.

  1. 106L
  2. 172L
  3. 102L
  4. 190L

Correct answer: 102L

Solution

With total V, A = 8V/18 and B = 6V/18. Draining 30 L removes them in ratio, and adding 12 L of A gives the equation (8V/18 - 240/18 + 12) - (6V/18 - 180/18) = 20, which yields V = 102 L.

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