Multiple choice

The cost price of an article is Rs. 5500. It was sold at a profit of 9.09%. If the article was sold at a discount of 20%, then what is the marked price (in Rs.) of the article?

  1. 6000

  2. 7500

  3. 6600

  4. 6800

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Selling price = 5500 * (1 + 0.0909) = 5500 * 1.0909 = 6000. If 6000 is the price after a 20% discount, then 0.8 * Marked Price = 6000. Marked Price = 6000 / 0.8 = 7500.

AI explanation

A profit of 9.09 percent is equivalent to a fraction of 1/11, meaning the selling price is 12/11 of the cost price. We find the selling price by calculating 5500 * (12/11), which equals Rs. 6000. Since this selling price reflects a 20 percent discount, the marked price is 80 percent of it; calculating 6000 / 0.80 gives a marked price of Rs. 7500.