Question

A shopkeeper has two varieties of rice A and B. By selling A at ₹75 per kg, he loses 20%; and by selling B at ₹90 per kg, he gains 25%. If he mixes A and B in the ratio 4 : 5 and sells the mixture at ₹110.25 per kg, then his profit percentage is:

• A. 30%
• B. 32%
• C. 35%
• D. 40%

Hint:

For profit and loss problems, first calculate the cost price and selling price, then determine the profit or loss and calculate the profit percentage.

Answer 1

The Correct Option is C

Let the cost price of A per kg be \( C_A \) and the cost price of B per kg be \( C_B \). Given: - Loss on A = 20%, so \( C_A = \frac{75}{0.8} = 93.75 \) - Gain on B = 25%, so \( C_B = \frac{90}{1.25} = 72 \) Now, the cost price of the mixture: - The cost price of 4 kg of A is \( 4 \times 93.75 = 375 \) - The cost price of 5 kg of B is \( 5 \times 72 = 360 \) - The total cost price of the mixture is \( 375 + 360 = 735 \) The selling price of 9 kg of the mixture is \( 9 \times 110.25 = 992.25 \). Thus, the profit = \( 992.25 - 735 = 257.25 \). Profit percentage = \( \frac{257.25}{735} \times 100 \approx 35% \). Thus, the correct answer is 35%.