Multiple choice

A shopkeeper marked a product, 20% above the cost price and sold the product for Rs. 3888 by giving two successive discounts of 10% each. Find the cost price of the product and the loss percentage of the shopkeeper.

  1. 4200, 7.4%

  2. 4000, 2.8%

  3. 4100, 5.1%

  4. 4050, 4%

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

Let CP = 100x. Marked Price = 120x. Two 10% discounts: 120x * 0.9 * 0.9 = 97.2x. 97.2x = 3888 => x = 40. CP = 4000. Loss = 4000 - 3888 = 112. Loss % = (112/4000) * 100 = 2.8%.

AI explanation

Using the equivalent discount formula for two successive 10% discounts, the single discount is 10 + 10 - 100 / 100 = 19%. The marked price is calculated as 3888 / (1 - 0.19), which equals 3888 / 0.81 = Rs. 4800. Given that the marked price is 20% above the cost price, the cost price is 4800 / 1.20 = Rs. 4000. The loss percentage is calculated as (4000 - 3888) / 4000 * 100, which equals 112 / 4000 * 100 = 2.8%.

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