Multiple choice

After two successive discounts of 20% and 35%, an article is sold for Rs. 50,700. What is the marked price (in Rs.) of the article?

  1. Rs. 92,500

  2. Rs. 98,500

  3. Rs. 97,500

  4. Rs. 94,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the marked price of the article be M. After a 20% discount, the price becomes 0.8M, and after a subsequent 35% discount, it becomes 0.8M * 0.65 = 0.52M. Setting 0.52M = 50,700 gives M = 97,500.

AI explanation

The final selling price after successive discounts is found by multiplying the marked price by (1 - first discount rate) and (1 - second discount rate). This gives the equation 50700 = Marked Price multiplied by 0.80 and 0.65. Multiplying 0.80 and 0.65 yields 0.52, so the Marked Price equals 50700 divided by 0.52. This results in a marked price of Rs. 97,500.

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