Multiple choice

A seller gains 20% profit even after allowing 10% discount. If the amount of profit on a TV set is Rs. 750, then the marked price of the TV set is

  1. Rs. 5200

  2. Rs. 5000

  3. Rs. 4800

  4. Rs. 5500
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let MP be marked price. Selling Price = 0.9 * MP. Profit = 20% of CP, so SP = 1.2 * CP. 0.9 * MP = 1.2 * CP. Also, Profit = SP - CP = 0.2 * CP = 750. CP = 3750. SP = 1.2 * 3750 = 4500. 0.9 * MP = 4500, so MP = 5000.

AI explanation

Let the cost price be x rupees, and since the profit is Rs. 750, the selling price is x plus 750. The profit of Rs. 750 represents a 20% gain, so 0.20x equals 750, making the cost price Rs. 3750. The selling price is 3750 plus 750, which equals Rs. 4500, and this selling price is achieved after a 10% discount on the marked price. Setting 0.90 times the marked price equal to 4500 gives a marked price of Rs. 5000.

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