Multiple choice

The marked price of a fan is Rs. 1360. The shopkeeper gives successive discounts of 25% and x% to the customer. If the customer pays Rs. 918 for the fan, the value of x is...

  1. 16%

  2. 18%

  3. 20%

  4. 10%

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

Marked price = 1360. After 25% discount, price = 1360 * 0.75 = 1020. After x% discount, 1020 * (1 - x/100) = 918. 1 - x/100 = 918 / 1020 = 0.9. x/100 = 0.1, so x = 10%.

AI explanation

The selling price after two successive discounts is found using the formula SP = MP * (1 - discount1/100) * (1 - discount2/100). Here, 918 = 1360 * (1 - 25/100) * (1 - x/100), which simplifies to 918 = 1360 * 0.75 * (1 - x/100). This reduces to 918 = 1020 * (1 - x/100), so dividing 918 by 1020 gives 0.90. Therefore, 1 - x/100 = 0.90, which means x is 10 percent.

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