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:

Use weighted averages when mixing cost prices in given ratios.

Answer 1

The Correct Option is C

Cost price of A = \( \frac{75}{0.8} = 93.75 \) Cost price of B = \( \frac{90}{1.25} = 72 \) Mixture is in ratio 4:5. Weighted average cost price = \[ \frac{(4 \times 93.75 + 5 \times 72)}{9} = \frac{375 + 360}{9} = \frac{735}{9} = 81.67 \] Selling Price = ₹110.25 Profit % = \[ \frac{110.25 - 81.67}{81.67} \times 100 \approx 35% \]