Multiple choice

A merchant purchased two qualities of pulses at the rate of 200 per quintal and 260 per quintal. In 52 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at 300 per quintal, he gains profit of 25%?

  1. 25

  2. 26

  3. 27

  4. 28

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

Selling price = 300/quintal with 25% profit, so cost price of mixture = 300/1.25 = 240/quintal. Using alligation: 260 at 52 quintals mixed with 200 at x quintals gives mean 240. Differences from mean: 260-240 = 20, 240-200 = 40. Ratio x:52 = 20:40 = 1:2, so x = 26 quintals.