Multiple choice

Amit sells an article for Rs. 144 such that the profit percentage is equal to the cost price of the article. What is the cost price of the article sold by Amit?

  1. Rs. 80

  2. Rs. 87

  3. Rs. 95

  4. Rs. 102

  5. Rs. 105
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Profit % = CP. Selling Price = CP + (Profit % / 100) * CP = CP + (CP^2 / 100) = 144. CP^2 + 100CP - 14400 = 0. Solving the quadratic: (CP + 180)(CP - 80) = 0. Since CP > 0, CP = 80.

AI explanation

Using the formula relating cost price and profit percentage, cost price multiplied by 100 plus cost price divided by 100 equals the selling price. Working with the equation, cost price squared plus 100 times cost price equals 14400. Factoring the equation yields the cost price as 80.

Keep practicing — related questions