Multiple choice

Due to new year eve, a shopkeeper gives 15% additional discount on an already discounted price. The initial discount given was 25% on the marked price of a heater. If the final sale price of the heater is Rs. 704, then what is its marked price (in Rs.)?

  1. 1104.3

  2. 1150.56

  3. 1200

  4. 1500

  5. None of these
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A Correct answer
Explanation

Let M be the marked price. After 25% discount, price is 0.75M. After an additional 15% discount, price is 0.75M * 0.85 = 0.6375M. Setting 0.6375M = 704, M = 704 / 0.6375 = 1103.92, which is approximately 1104.3.

AI explanation

The equivalent single discount for successive discounts of 25% and 15% is calculated as 25 plus 15 minus (25 multiplied by 15 divided by 100), which equals 36.25%. This means the final sale price is 63.75% of the marked price. Setting 63.75% of the marked price equal to Rs. 704 and solving gives the marked price as 704 divided by 0.6375, which is Rs. 1104.3.

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