Multiple choice

The marked price of a watch is 1,600. The shopkeeper gives successive discounts of 10% and x% to the customer. If the customer pays 1,224 for the watch, the value of x is

  1. 5%

  2. 10%

  3. 15%

  4. 20%

  5. 0
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

After a 10% discount, the price is 1600 * 0.9 = 1440. Then 1440 * (1 - x/100) = 1224. Solving for x: 1 - x/100 = 1224/1440 = 0.85, so x/100 = 0.15, meaning x = 15.

AI explanation

Using the equivalent discount formula for successive discounts, the final price is 1600 * 0.90 * [(100 - x)/100]. Equating this to the customer's payment gives 1440 * [(100 - x)/100] = 1224. Solving for x yields (100 - x) = 85, so x = 15%.

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