Multiple choice

A vessel contains liquids A and B in the ratio 6:7. If 26 litres of mixture is removed and same quantity of liquid B is added then the ratio becomes 9:17. What quantity does the vessel hold ?

  1. 123

  2. 98

  3. 140

  4. 104

  5. 40
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let total quantity be T. Initial A = 6/13 T, B = 7/13 T. After removing 26L, A = 6/13(T-26), B = 7/13(T-26). Adding 26L of B: A = 6/13(T-26), B = 7/13(T-26) + 26. Ratio A/B = 9/17. 6(T-26) / (7(T-26) + 338) = 9/17. 102(T-26) = 63(T-26) + 3042. 39(T-26) = 3042. T-26 = 78. T = 104.

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