If a man reduces the selling price of a cooker from Rs. 620 to Rs. 580, his…
2019
If a man reduces the selling price of a cooker from Rs. 620 to Rs. 580, his loss percentage increases by 4 percentage points. What is the cost price of the cooker?
Answer: B. Rs. 1000 — Concept: For a fixed cost price, loss = cost price − selling price and loss percentage = (loss ÷ cost price) × 100. A reduction in selling price increases the…
- A.
Rs. 1100
- B.
Rs. 1000
- C.
Rs. 1250
- D.
Rs. 750
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Correct answer: B
Concept: For a fixed cost price, loss = cost price − selling price and loss percentage = (loss ÷ cost price) × 100. A reduction in selling price increases the loss amount by the same rupee amount; dividing that increase by the unchanged cost price gives the increase in loss percentage.
Application: Let the cost price be x rupees.
The selling price falls by Rs. 620 − Rs. 580 = Rs. 40, so the loss amount rises by Rs. 40.
The question says this rise equals 4 percentage points of the cost price: (40 ÷ x) × 100 = 4.
Thus 4000 ÷ x = 4, so x = 4000 ÷ 4 = 1000.
Cross-check: For x = Rs. 1000, the loss percentages are (1000 − 620) ÷ 1000 × 100 = 38% and (1000 − 580) ÷ 1000 × 100 = 42%. Their difference is 4 percentage points, exactly as stated.
Result: The cost price of the cooker is Rs. 1000.