Multiple choice

Sumit buys a radio with 50% discount on its marked price. He makes a profit of 10% by selling it at the price of Rs. 550/-. The marked price (in Rs.) of the radio is?

  1. 750

  2. 800

  3. 1000

  4. 950

  5. None
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

SP = 550, Profit = 10 percent. CP = 550/1.1 = 500. Discount = 50 percent of MP. CP = 0.5 * MP = 500. MP = 1000.

AI explanation

Sumit sells the radio for Rs. 550 at a 10% profit, so using the formula Selling Price = Cost Price x (1 + Profit%/100), his cost price is 550 / 1.1 = 500. He bought it at a 50% discount on the marked price, meaning 500 = 0.5 x Marked Price. Solving for the marked price gives 500 / 0.5 = 1000. The marked price of the radio is 1000.

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