Multiple choice

The marked price of an article is Rs 1,000. After two successive discounts, it is sold for Rs 600. If the first discount is (x)\% and the second discount is 25%, then what is the value of (x)?

  1. 12%

  2. 25%

  3. 18%

  4. 20%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

After the first discount of x%, the price becomes 1000(1 - x/100). After the second discount of 25%, the final price is 1000(1 - x/100)(0.75) = 600. Solving: (1 - x/100) = 600/(1000 × 0.75) = 600/750 = 0.8. Therefore, x/100 = 0.2, giving x = 20%. The key is applying successive discounts multiplicatively, not additively.

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