Five kg of ghee was bought by Venu for Rs. 300. One kg was spoiled. He sold…
2026
Five kg of ghee was bought by Venu for Rs. 300. One kg was spoiled. He sold the remaining in such a way that on the whole he incurred a loss of 10% . At what price per kg did he sell the ghee ?
- A.
Rs 67.50
- B.
Rs 60.50
- C.
Rs 56.00
- D.
Rs 67.00
Attempted by 24 students.
Show answer & explanation
Correct answer: A
Concept: When part of a purchased quantity is spoiled and cannot be sold, the overall profit or loss is still measured against the total cost price of everything originally bought, not just the cost of the portion actually sold. So Total Selling Price = Total Cost Price × (1 − Loss% / 100), and the selling price per unit is this total revenue divided by the quantity actually sold.
Total cost price (CP) for 5 kg of ghee = Rs. 300.
1 kg of ghee spoiled and could not be sold, so only 4 kg were actually available to sell.
The overall loss on the whole transaction is 10% of the total CP: Loss = 10% of 300 = Rs. 30.
Total selling price (SP) realised from selling the 4 kg = Total CP − Loss = 300 − 30 = Rs. 270.
Selling price per kg = Total SP ÷ quantity actually sold = 270 ÷ 4 = Rs. 67.50.
Check: Working backwards: selling 4 kg at Rs. 67.50 per kg gives revenue of 4 × 67.50 = Rs. 270. Loss = CP − SP = 300 − 270 = Rs. 30, which is exactly 10% of the Rs. 300 invested — confirming the per-kg price of Rs. 67.50 satisfies the stated 10% overall loss.
Hence, Venu sold the ghee at Rs. 67.50 per kg.
