Multiple choice

The marked price of a T.V. is 16,000. After two successive discounts it is sold for 11,400. If the first discount is 5%, then the rate of second discount is

  1. 15%

  2. 20%

  3. 30%

  4. 25%

  5. 0
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D Correct answer
Explanation

After a 5% discount, the price is 16,000 * 0.95 = 15,200. The final price is 11,400. The second discount rate x satisfies 15,200 * (1 - x/100) = 11,400. Solving gives (1 - x/100) = 0.75, so x = 25%.

AI explanation

After the first discount of 5% on the marked price of 16,000, the price becomes 16,000 * 0.95 = 15,200. Let the rate of the second discount be x%. The final selling price is 11,400, so 15,200 * (1 - x/100) = 11,400. Solving for x gives x = ((15,200 - 11,400) / 15,200) * 100 = 25%.

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