A shopkeeper bought 50kg of sugar at the rate of ₹ 40 per kg. He sold 40% of…
2025
A shopkeeper bought 50kg of sugar at the rate of ₹ 40 per kg. He sold 40% of the sugar at the rate of ₹ 60 per kg. At what price per kg should he sell the remaining sugar to make 20% overall profit?
Answer: B. ₹ 40 — For goods sold in separate lots at different prices, the overall profit or loss is measured on the total cost price versus the total selling price, not lot by…
- A.
₹ 42
- B.
₹ 40
- C.
₹ 45
- D.
₹ 30
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Correct answer: B
For goods sold in separate lots at different prices, the overall profit or loss is measured on the total cost price versus the total selling price, not lot by lot: the total selling price needed for a target overall profit percentage equals the total cost price multiplied by (1 + profit%/100), where the total selling price itself is the sum of (quantity times price) across every lot sold.
Total cost price of the sugar = 50 kg × ₹40 per kg = ₹2,000.
Total selling price needed for a 20% overall profit = ₹2,000 × 1.20 = ₹2,400.
Sugar sold at ₹60 per kg = 40% of 50 kg = 20 kg; revenue from this part = 20 kg × ₹60 per kg = ₹1,200.
Remaining sugar = 50 kg − 20 kg = 30 kg; revenue still needed from this part = ₹2,400 − ₹1,200 = ₹1,200.
Required price per kg for the remaining sugar = ₹1,200 ÷ 30 kg = ₹40 per kg.
As a check, adding the revenue from both lots gives ₹1,200 + ₹1,200 = ₹2,400; the profit is ₹2,400 − ₹2,000 = ₹400, which is 400/2000 × 100 = 20% of the cost price, confirming the required overall profit is achieved when the remaining sugar is sold at ₹40 per kg.