Multiple choice

In a vessel, milk and water are in the ratio of 5 : 2 respectively. If 42 liter of mixture is taken out from the vessel and 32 liter of water is added, then new ratio of milk and water becomes 7 : 6. Find initial quantity of mixture in vessel?

  1. 130

  2. 145

  3. 150

  4. 140

  5. 170
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let initial milk = 5x, water = 2x. Total = 7x. After removing 42L, milk removed = 30, water removed = 12. Remaining: milk = 5x - 30, water = 2x - 12. Add 32L water: milk = 5x - 30, water = 2x + 20. Ratio (5x-30)/(2x+20) = 7/6. 30x - 180 = 14x + 140. 16x = 320, x = 20. Initial mixture = 7x = 140.

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