Priya got a new curtain at 8% discount. If Priya did not get any discount, she…
2025
Priya got a new curtain at 8% discount. If Priya did not get any discount, she would have had to pay ₹260 extra. So how much did Priya pay for the curtain?
- A.
₹2,989
- B.
₹2,990
- C.
₹2,988
- D.
₹2,992
Show answer & explanation
Correct answer: B
Concept: The saving from a discount equals the extra amount that would have been paid without it: Marked Price − Selling Price = Discount% × Marked Price, and Selling Price = Marked Price × (1 − Discount%/100).
Application:
Let the marked price of the curtain be ₹MP.
At an 8% discount, the extra amount Priya would have paid without any discount equals 8% of MP, so 0.08 × MP = ₹260.
Solving for MP: MP = 260 / 0.08 = ₹3,250.
The amount Priya actually paid = MP − 260 = 3,250 − 260 = ₹2,990 (equivalently, 92% of ₹3,250 = ₹2,990).
Cross-check: 8% of ₹3,250 = 0.08 × 3,250 = ₹260, which matches the extra amount stated in the question, confirming the marked price and the amount Priya paid, ₹2,990.