Multiple choice

After giving two successive discounts of x% each on the marked price of an article, the total discount is Rs. 259.20. If the marked price of the article is Rs. 720, then the value of x is:

  1. 18

  2. 24

  3. 20

  4. 25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Discount rate is 9/75 = 12%. For two successive discounts of x%, 1 - (1-x/100)^2 = 259.2/720 = 0.36. (1-x/100)^2 = 0.64. 1-x/100 = 0.8. x = 20.

AI explanation

The selling price after two successive discounts of x percent is found using the successive discount formula: SP = MP * (1 - x/100) * (1 - x/100). Substituting the values gives 720 - 259.20 = 720 * (1 - x/100)^2. This simplifies to 460.80 / 720 = (1 - x/100)^2, making (1 - x/100)^2 equal to 0.64. Taking the square root gives 1 - x/100 = 0.8, so x equals 20.

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