Multiple choice

A container holds 200 litres of a solution of acid and water, having 30% acid by volume. Atul replaces 20% of this solution with water, then replaces 10% of the resulting solution with acid, and finally replaces 15% of the solution thus obtained, with water. The percentage of acid by volume in the final solution obtained after these three replacements, is nearest to

  1. 25

  2. 27

  3. 29

  4. 23

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Start: 60 acid, 140 water. 1. Replace 20% (40L) with water: 40L removed (12 acid, 28 water). Remaining: 48 acid, 112 water. Add 40L water: 48 acid, 152 water. 2. Replace 10% (20L) with acid: 20L removed (4.8 acid, 15.2 water). Remaining: 43.2 acid, 136.8 water. Add 20L acid: 63.2 acid, 136.8 water. 3. Replace 15% (30L) with water: 30L removed (9.48 acid, 20.52 water). Remaining: 53.72 acid, 146.28 water. Add 30L water: 53.72 acid, 146.28 water. Final % = 53.72 / 200 = 26.86%. Nearest is 27.