Question

A shopkeeper bought 1000 kg of rice, a part of which was sold at 10% profit and the remaining at 20% loss; on the whole, the loss was 5%. What is the quantity of rice that was sold at 20% loss?
1. 500 kg
2. 600 kg
3. 400 kg
4. 550 kg

Answer 1

Correct Answer - Option 1 : 500 kg

Given:

Amount of rice bought = 1000 kg

Profit in which a part is sold = 10% 

Loss in which other part is sold = 20%

Total loss in the whole transaction = 5%

Calculation:

Let the price of 1 kg rice be Rs 1.

Cost price of 1000 kg = Rs 1000

Let x kg be sold for 20% loss.

Then, (1000 - x) kg sold for 10% profit.

Net selling price = 1000 kg × 95/100 = Rs 950

Net amount on selling x kg rice at 20% loss = x × 80% = 0.8x

Net amount on selling(1000 -x) kg rice at 10% profit = (1000 - x) × 110/100 = 1.1 × (1000 - x)

Then, 1.1 × (1000 - x) + 0.8x = 950

1100 - 0.3x = 950

150 = 0.3x

Or, x = 500 kg

∴ 500 kg of rice is sold for 20% loss.