Multiple choice

A vessel contains a mixture of 3 types of milk A, B, C. The ratio of their quantity is 3 : 4 : 9 respectively. If 10 litres of the mixture is taken out and 3 litres of A, B, C each are filled in the vessels due to which the quantity of C became thrice that of B. Find the initial quantity of mixture?

  1. 48

  2. 58

  3. 40

  4. 50

  5. 68
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial A:B:C = 3:4:9, total = 16x = mixture quantity. After removing 10L, remaining is 16x - 10. After adding 3L each: A = 3x - (30/16x) + 3, B = 4x - (40/16x) + 3, C = 9x - (90/16x) + 3. Given C = 3B, solving gives x = 3.625, so initial = 58L.

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