Multiple choice

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In the questions given below some data is not given and answer by filling in the appropriate data.

A vessel contain 144 liters of milk and water. The ratio of milk and water is 5:4. If --------- liters of mixture is taken out from the vessel and then ---------liters of water is added to it, so 46.875 % will be the percentage of milk in the final mixture. A. 71 B. 36 C. 15 D. 20 E. 45

  1. C, B

  2. B, C

  3. C, E

  4. B, D

  5. B, E
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Initial milk: 5/9 × 144 = 80L, water: 4/9 × 144 = 64L. Let x liters removed and y liters added. After removal: milk = 80 - (5/9)x, water = 64 - (4/9)x. After adding y liters water: milk = 80 - (5/9)x, total = 144 - x + y. Required: (80 - 5x/9)/(144 - x + y) = 46.875% = 15/32. Testing x=36, y=20: (80 - 20)/(144 - 36 + 20) = 60/128 = 15/32 ✓

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