Question

A merchant has 5000 kg of Basmati rice. He sells some part of this Basmati rice at 20% profit and the rest at 35% profit. He gains 29% in the entire transaction. What is the quantity sold at 20% profit and 35% profit, respectively?

• A. 2600 kg, 2400 kg
• B. 2200 kg, 2800 kg
• C. 1800 kg, 3200 kg
• D. 2000 kg, 3000 kg

Answer 1

Answer:

D. 2000 kg, 3000 kg

Let the cost price per kg = ₹1 (assumption for simplicity).

Total rice = 5000 kg

Let

• x kg be sold at 20% profit

• (5000 − x) kg be sold at 35% profit

  Total profit equation:

$\frac{0.20x + 0.35(5000 - x)}{5000} = 0.29$

Multiply both sides by 5000:
$0.20x + 1750 - 0.35x = 1450$
$-0.15x = -300$

$x = 2000$
Quantities sold:

• At 20% profit: 2000 kg

• At 35% profit: 3000 kg