Multiple choice

Rahul sells a mobile at a discount on its marked price of Rs. 2500. In a clearance sale, he gives an additional discount of 20%, thus selling it at Rs. 1500. Find the first discount.

  1. 20%

  2. 25%

  3. 12%

  4. 15%

  5. 18%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the first discount be x%. The price after the first discount is 2500 * (1 - x/100). After a further 20% discount, the price is 2500 * (1 - x/100) * 0.8 = 1500. Solving for x: (1 - x/100) = 1500 / (2500 * 0.8) = 1500 / 2000 = 0.75. So x = 25.

AI explanation

Let the first discount be d percent. The selling price after two successive discounts of d percent and 20 percent is 2500 multiplied by (1 minus d over 100) multiplied by 0.80. This equals the final selling price of Rs. 1500. Solving the equation 2000 multiplied by (1 minus d over 100) equals 1500 gives 1 minus d over 100 = 0.75, meaning d is 25 percent. The result is 25%.

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