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?

  1. A.

    ₹2,989

  2. B.

    ₹2,990

  3. C.

    ₹2,988

  4. 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:

  1. Let the marked price of the curtain be ₹MP.

  2. At an 8% discount, the extra amount Priya would have paid without any discount equals 8% of MP, so 0.08 × MP = ₹260.

  3. Solving for MP: MP = 260 / 0.08 = ₹3,250.

  4. 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.

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