By selling an article for ₹ 100, a man gains ₹ 15. What is the gain percentage…
2025
By selling an article for ₹ 100, a man gains ₹ 15. What is the gain percentage for the article ?
- A.
11 16/17%
- B.
8 16/23%
- C.
17 11/17%
- D.
15%
Attempted by 7 students.
Show answer & explanation
Correct answer: C
Gain percentage is always calculated on the Cost Price (CP), not the Selling Price (SP): Gain% = (Gain ÷ CP) × 100, where CP = SP − Gain when the sale results in a profit.
Given: Selling Price (SP) = ₹100, Gain = ₹15.
Cost Price (CP) = SP − Gain = 100 − 15 = ₹85.
Gain% = (Gain ÷ CP) × 100 = (15 ÷ 85) × 100 = 1500 ÷ 85 = 300/17%.
Converting 300/17 to a mixed fraction: 300 ÷ 17 = 17 remainder 11, so Gain% = 17 11/17%.
Cross-check: the gain implied by this cost price and gain percentage is 85 × (300/17) ÷ 100 = 25500 ÷ 1700 = ₹15, which matches the given gain of ₹15 — confirming the answer.