Multiple choice

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?

  1. 12 liters

  2. 16 liters

  3. 20 liters

  4. 24 liters

  5. 27 liters
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Original A:B = 2:5 means A = 2k, B = 5k (total 7k). Removing 7 L removes (2/7) × 7 = 2 L of A and (5/7) × 7 = 5 L of B, leaving A = 2k − 2, B = 5k − 5. Adding 18 L of A: new A = 2k + 16. New ratio (2k+16):(5k−5) = 8:11 yields 11(2k+16) = 8(5k−5) → k = 12. Original A = 24 L.

Keep practicing — related questions