Directions: Select the correct alternative from the given choices. Mathews sold a television set at a profit of 10%. Had he sold it for ₹1200 more, he would have made a profit of 25%. Which of the following is the cost price of the television set?

Let the cost price of the television set be CP; the initial selling price for a 10% profit is 1.10 * CP. If the television was sold for Rs. 1200 more, the new selling price would be 1.10 * CP + 1200, which the problem states results in a 25% profit, so the new selling price also equals 1.25 * CP. Equating the two expressions for the new selling price gives 1.10 * CP + 1200 = 1.25 * CP. Solving for CP, we find 0.15 * CP = 1200, which means the cost price is 1200 / 0.15 = Rs. 8000.

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