A shopkeeper claims that he sells rock salt at ₹16 per kg, which costs him ₹25…
2026
A shopkeeper claims that he sells rock salt at ₹16 per kg, which costs him ₹25 per kg. However, he gives only 510 g while charging for 1275 g. What is his percentage profit or loss?
Answer: B. Profit of 60% — ConceptWhen goods are sold using a short weight, compare the money collected for the claimed quantity with the cost of the quantity actually delivered. Profit…
- A.
Profit of 57%
- B.
Profit of 60%
- C.
Profit of 61%
- D.
Profit of 58%
Attempted by 27 students.
Show answer & explanation
Correct answer: B
Concept
When goods are sold using a short weight, compare the money collected for the claimed quantity with the cost of the quantity actually delivered.
Profit percentage is calculated on cost price: Profit % = (Selling price − Cost price) ÷ Cost price × 100.
Application
The customer is charged for 1275 g = 1.275 kg at ₹16 per kg, so the money collected is 1.275 × 16 = ₹20.40.
Only 510 g = 0.510 kg is delivered. At a cost of ₹25 per kg, its cost price is 0.510 × 25 = ₹12.75.
Profit = ₹20.40 − ₹12.75 = ₹7.65.
Profit % = (7.65 ÷ 12.75) × 100 = 60%.
Cross-check
Since ₹20.40 ÷ ₹12.75 = 1.60, the money collected is 160% of the cost; therefore the profit is 60%.