Question

A vendor bought 15 kg of rice at a certain rate per kg. After a week, he sold 6 kg of the rice at 20% profit, 6 kg at neither profit nor loss and 3 kg at 10% loss. In this transaction, what is his profit percentage?
1. 7.5%
2. 10%
3. 5.25%
4. 6%

Answer 1

Correct Answer - Option 4 : 6%

Given:

A vendor bought 15 kg of rice at a certain rate per kg. After a week, he sold 6 kg of the rice at 20% profit, 6 kg at neither profit nor loss and 3 kg at 10% loss. 

Concept used:

Profit and loss

Calculation:

Let the rate at which he bought 15kg of rice be x %

As per the question,

⇒ 6 × 20% + 6 × 0% + 3 × (-10%) = 15 × x %

⇒ 120% + 0 - 30% = 15x%

⇒ 15x% = 90%

∴ x% = 6%