Multiple choice

Gopal bought a laptop for Rs. 48900. He marked the price of the laptop 60% above the cost price and sold to Radha at 35% discount. If Radha sold the same laptop to Komal at 25% profit. Find the discount offered by Radha provided the marked price of the laptop was same as Gopal had marked?

  1. 18.75%

  2. 13.34%

  3. 19.12%

  4. 14.35%

  5. 15.68%
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A Correct answer
Explanation

Cost price = 48900. Marked price = 48900 * 1.6 = 78240. Selling price to Radha = 78240 * 0.65 = 50856. Radha sells to Komal at 25% profit, so Komal's price = 50856 * 1.25 = 63570. The discount offered by Radha is the difference between the marked price (78240) and the price she sold to Komal (63570), which is 14670. Discount percentage = (14670 / 78240) * 100 = 18.75%.

AI explanation

Gopal marked the laptop 60% above its cost price, so the marked price is 48900 times 1.60 which equals 78240. Radha bought it at a 35% discount on this price, meaning her cost price is 78240 times 0.65 which equals 50856. To earn a 25% profit, Radha's selling price to Komal becomes 50856 times 1.25 which equals 63570. The discount percentage Radha offered is calculated as (78240 minus 63570) divided by 78240 times 100, which equals 18.75%.

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