5 kg of ghee was bought by Venu for Rs. 300. 1 kg was spoiled. He sold the…
2024
5 kg of ghee was bought by Venu for Rs. 300. 1 kg was spoiled. He sold the remaining ghee in such a way that overall 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 2 students.
Show answer & explanation
Correct answer: A
Concept: When goods are sold at an overall loss, the total selling price (SP) equals total cost price (CP) reduced by the loss percentage: SP = CP × (1 − Loss% ÷ 100). If only part of the stock is actually sold, this total SP must be divided by the quantity actually sold, not the quantity originally purchased.
Step-by-step application:
Total cost price of the ghee = Rs. 300 for the 5 kg Venu bought.
An overall loss of 10% means total selling price = 300 × (1 − 10/100) = 300 × 0.9 = Rs. 270.
Only 4 kg of ghee was actually sold, since 1 kg out of the 5 kg spoiled (5 − 1 = 4 kg).
Selling price per kg = total selling price ÷ quantity sold = 270 ÷ 4 = Rs. 67.50.
Cross-check: Selling 4 kg at Rs. 67.50 per kg gives 4 × 67.50 = Rs. 270, which is exactly 90% of the Rs. 300 cost price — confirming the overall loss is exactly 10%.