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CSAT 2017 paper

UPSC CSE CSAT 2017 · Question 37 · Arithmetic: percentage, ratio, averages, time & work

There is a milk sample with 50% water in it. If 1/3rd of this milk is added to equal amount of…

There is a milk sample with 50% water in it. If 1/3rd of this milk is added to equal amount of pure milk, then water in the new mixture will fall down to

Answer & explanation

Answer: (a) 25%

Take the one-third portion as 1 litre: it holds 0.5 litre of water. Adding 1 litre of pure milk makes 2 litres with the same 0.5 litre of water, which is 25%.

  1. Let the portion taken (1/3rd of the sample) be 1 litre; at 50% water it has 0.5 litre of water.
  2. Add an equal amount (1 litre) of pure milk, which has no water: total 2 litres.
  3. Water = 0.5 ÷ 2 = 25%.

Remember · Adding an equal amount of the pure component halves the concentration; the size of the portion taken does not matter.

Question and answer: UPSC's official GS Paper II (2017, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·

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