Profit made after discount on marked price

CAT 2024 Slot 3 · QA · Easy · Arithmetic

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Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price, and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is

  1. A.

    25

  2. B.

    10

  3. C.

    15

  4. D.

    20

Answer

B

Explanation

Let Cost Price = CC. Marked Price (MP) = 1.2C1.2C.

Discount = 10%10\% of MP =0.10×1.2C=0.12C= 0.10 \times 1.2C = 0.12C. Given discount saved by Ravi = Rs 15: 0.12C=15  ⟹  C=1250.12C = 15 \implies C = 125

Marked Price = 1.2×125=1501.2 \times 125 = 150. Selling Price = 150−15=135150 - 15 = 135.

Profit made by Gopi = Selling Price−Cost Price=135−125=10\text{Selling Price} - \text{Cost Price} = 135 - 125 = 10.

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