Multiple choice general knowledge math & puzzles

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

  1. 400 kg

  2. 560 kg

  3. 600 kg

  4. 640 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x kg sold at 18%. Then 8%(1000-x) + 18%(x) = 14%(1000). Solving: 80 - 0.08x + 0.18x = 140, so 0.10x = 60, x = 600 kg. Alligation method also gives 600 kg.

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