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A shopkeeper mixes two types of rice, one priced at Rs. 75 per kg and the other at Rs. 50 per kg, in a ratio of 3:2. If h e sells the mixture at Rs. 6
Question

A shopkeeper mixes two types of rice, one priced at Rs. 75 per kg and the other at Rs. 50 per kg, in a ratio of 3:2. If h e sells the mixture at Rs. 62.40 per kg, what is his profit or loss percentage?

A.

Profit, 4 1/4%

B.

Loss, 4 1/4%

C.

Profit, 4%

D.

Loss, 4%

Correct option is D

 
Given:
- Price of first type of rice = ₹75 per kg
- Price of second type of rice = ₹50 per kg
- Ratio of the mixture = 3 : 2
- Selling price of the mixture = ₹62.40 per kg
Formula Used:
1. Cost price of the mixture = (Price of first type × Quantity 1 + Price of second type × Quantity 2) / Total quantity
2. Profit or Loss Percentage = ((Selling price - Cost price) / Cost price) × 100
Solution:
1. Calculate the cost price of the mixture: Cost price = (75 × 3 + 50 × 2) / (3 + 2) = 65 per kg
2. Calculate the profit or loss percentage: Profit/Loss Percentage = ((62.40 - 65) / 65) × 100 = -4% (A negative result indicates a loss.) Answer: (d) Loss, 4%

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