Multiple choice

A person offers 20% discount on the marked price of an article. Due to this, he incurs a loss of 50%. What profit or loss percent will he get if he sells the article at 165% of the marked price?

  1. 3.125% profit

  2. 2.5% loss

  3. 1.8% profit

  4. 2% loss

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let MP = 100. Selling price at 20% discount = 80. Loss of 50% means CP = 160. Selling at 165% of MP = 165. Profit = 165 - 160 = 5. Profit % = (5/160) * 100 = 3.125%.

AI explanation

Let the marked price be Rs. 100, so the initial selling price after a 20% discount is Rs. 80. Since this results in a 50% loss, the cost price is 80 divided by 0.50, which equals Rs. 160. The new selling price is 165% of the marked price, which is Rs. 165, and applying the profit percentage formula gives 165 minus 160, divided by 160, times 100, resulting in a 3.125% profit.

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