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SSC CHSL 2024 · PYQ · Mixtures and Alligation · medium

How much water should be added to 60 liters of milk at 1½ liters a rupee so as to have a mixture worth 1 7/8 liters a rupee?

  1. A.27 liters
  2. B.20 liters✓ Correct
  3. C.15 liters
  4. D.12 liters

Explanation

Price of milk = 1/1.5 = 2/3 rupees per liter. Price of mixture = 1/(15/8) = 8/15 rupees per liter. Water costs 0. By alligation: ratio of water to milk = (2/3 – 8/15)/(8/15 – 0) = (2/15)/(8/15) = 1:4. For 60 liters milk, water = 60/4 = 15 liters. The answer is (d) 15 liters.
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