Multiple choice

Rakesh marked the price of an item 20% above the cost price. Due to festive season, he allowed two successive discounts of 10% and 25% to a consumer. Due to this, he incurred a loss of Rs. 684 on an item. At what price did he sell the item to the consumer?

  1. Rs. 2,916

  2. Rs. 2,900

  3. Rs. 2,516

  4. Rs. 3,916

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = 100. Marked Price = 120. Successive discounts of 10% and 25%: 120 * 0.9 * 0.75 = 81. Loss = 100 - 81 = 19. Given loss = 684. So 19 units = 684, 1 unit = 36. Selling Price = 81 units = 81 * 36 = 2916.

AI explanation

Let the cost price be C, making the marked price 1.2C. The two successive discounts of 10% and 25% result in a final selling price of 1.2C * 0.9 * 0.75, which equals 0.81C. The loss of Rs. 684 means C - 0.81C = 684, so 0.19C = 684 and C = 3600. The selling price to the consumer is 0.81 * 3600 = Rs. 2,916.

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