A man sells an item at Rs 7620 and incurs a loss of 8%. What price should he…
2025
A man sells an item at Rs 7620 and incurs a loss of 8%. What price should he sell the item to gain 14%?
- A.
9442
- B.
9542
- C.
8442
- D.
9482
Attempted by 1698 students.
Show answer & explanation
Correct answer: A
Step 1: Find the cost price.
Cost price = Given selling price ÷ (1 − loss%) = 7620 ÷ 0.92 = 8282.61 (approx).
Step 2: Find the selling price for 14% gain.
Required selling price = Cost price × (1 + 0.14) = 8282.61 × 1.14 ≈ 9442.17 ≈ Rs 9442.
Shortcut: Multiply the given selling price by (1.14 ÷ 0.92): 7620 × (1.14 ÷ 0.92) ≈ 9442.
Answer: Rs 9442 (approximately).