Question:

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

Updated On: Dec 2, 2024
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The Correct Option is D

Solution and Explanation

Let the cost price of the product be CC and the marked price be MM.

Step 1: Expressing the Cost Price and Marked Price - Since Gopi wants to make a 20% profit,
M=C×1.20 M = C \times 1.20

Step 2: Discounted Price for Ravi - Ravi receives a 10% discount.
Price paid by Ravi =M×(10.10)=0.90×M= M \times (1 - 0.10) = 0.90 \times M
We are told that Ravi saves Rs 15, which means the discount amount is Rs 15:
Discount =M×0.10=15= M \times 0.10 = 15
Thus, the marked price is:
M=150.10=150 M = \frac{15}{0.10} = 150

Step 3: Calculate the Cost Price and Gopi's Profit From M=C×1.20M = C \times 1.20, we can solve for the cost price:
150=C×1.20    C=1501.20=125 150 = C \times 1.20 \implies C = \frac{150}{1.20} = 125

Now, Gopi sells the product to Ravi for 0.90×150=1350.90 \times 150 = 135, so the profit Gopi makes is:
Profit=135125=10 Profit = 135 - 125 = 10
Thus, the profit made by Gopi is Rs 10.

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