Multiple choice

If on a marked price, the difference of selling prices with a discount of 30% and two successive discounts of 20% and 10% is 72, then the marked price (in rupees) is

  1. 3600

  2. 3000

  3. 2500

  4. 2400

  5. 0
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A Correct answer
Explanation

Let MP = x. Discount 30% -> SP1 = 0.7x. Two discounts 20% and 10% -> SP2 = x * 0.8 * 0.9 = 0.72x. Difference = 0.72x - 0.7x = 0.02x. 0.02x = 72. x = 72 / 0.02 = 3600.

AI explanation

Let the marked price be M. Using the marked price percentage formula, a 30% discount yields a selling price of 0.70M. Two successive discounts of 20% and 10% yield a selling price of 0.80 * 0.90 * M = 0.72M. The difference is 0.72M - 0.70M = 0.02M, which equals 72. Solving for M gives M = 72 / 0.02 = 3600.

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