Multiple choice

How many kg of sugar at 42 Rs/kg. must a man mix with 25 kg of sugar at 24 Rs/kg, so that he may on selling the mixture at 40 Rs/kg, gain 25% on the total?

  1. 28kg

  2. 23 kg

  3. 20 kg

  4. 34 kg

  5. None of these

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

Let x kg of sugar at Rs. 42/kg be mixed with 25 kg at Rs. 24/kg. Total cost price = 42x + 24(25) = 42x + 600. Selling price at 25% profit means 1.25 × CP = 40 × (x + 25). So 42x + 600 = 32(x + 25) = 32x + 800. Solving: 10x = 200, x = 20 kg.