An article is sold for ₹351.90 after giving two successive discounts of x% and…
2023
An article is sold for ₹351.90 after giving two successive discounts of x% and 15% on its marked price of ₹450. If a single discount of 2x% is given on its marked price, then its selling price will be —
- A.
₹387.50
- B.
₹360
- C.
₹378
- D.
₹382.50
Attempted by 19 students.
Show answer & explanation
Correct answer: C
Key idea: two successive discounts multiply. Use the equation based on the marked price.
Form the equation: (1 - x/100) × (1 - 15/100) × 450 = 351.90.
Compute the known factors: (1 - 15/100) = 0.85 and 351.90/450 = 0.782, so (1 - x/100) × 0.85 = 0.782.
So (1 - x/100) = 0.782 / 0.85 = 0.92, hence x/100 = 0.08 and x = 8%.
A single discount of 2x = 16% gives selling price = 450 × (1 - 0.16) = 450 × 0.84 = 378.
Answer: ₹378