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At what price should the Karan mark a sewing machine that costs him Rs. 1200. So that even after offering a 20% discount, he makes 25% profit?Options187512001300None of these

Question

At what price should the Karan mark a sewing machine that costs him Rs. 1200. So that even after offering a 20% discount, he makes 25% profit?Options187512001300None of these

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Solution

To solve this problem, we first need to calculate the price after 25% profit.

Step 1: Calculate the price after 25% profit The cost price of the sewing machine for Karan is Rs. 1200. He wants to make a 25% profit on this. So, the price after profit would be 1200 + 25% of 1200.

25% of 1200 = 0.25 * 1200 = Rs. 300

So, the price after profit = 1200 + 300 = Rs. 1500

Step 2: Calculate the marked price before discount Karan is offering a 20% discount on the marked price. This means that 80% of the marked price is Rs. 1500 (the price after profit).

So, we can set up the equation: 0.80 * (marked price) = 1500

To solve for the marked price, we divide both sides of the equation by 0.80:

Marked price = 1500 / 0.80 = Rs. 1875

So, Karan should mark the sewing machine at Rs. 1875 to make a 25% profit after a 20% discount. The correct option is 1875.

This problem has been solved

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