When a person sells an article for Rs 144 , his gain percent is equal to the…
2025
When a person sells an article for Rs 144 , his gain percent is equal to the cost price of an article . Cost price of an article is
- A.
84
- B.
96
- C.
92
- D.
80
Attempted by 8 students.
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Correct answer: D
Answer: 80
Let the cost price be x and the selling price be 144.
Profit = Selling price − Cost price = 144 − x.
Given that gain percent equals the cost price, (Profit / x) × 100 = x.
Substitute profit: 100 × (144 − x) / x = x ⇒ 100(144 − x) = x².
Simplify: x² + 100x − 14400 = 0.
Factor: (x − 80)(x + 180) = 0, so x = 80 or x = −180. Cost price must be positive, so x = 80.
Check: Profit = 144 − 80 = 64. Gain percent = (64/80) × 100 = 80%, which equals the cost price, confirming x = 80.