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All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?

Correct answer: D. 1184

  • A. 648
  • B. 888
  • C. 928
  • D. 1184

Explanation

Let the initial quantity in A be x litres. B initially contains 37.5% of x litres = 3x/8, while C contains 5x/8. After transferring 148 litres, equality gives 3x/8 + 148 = 5x/8 - 148, so x/4 = 296 and x = 1,184 litres. The likely wrong answer is 648 litres, which does not satisfy the equal-quantity condition after the transfer.

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