Multiple choice

The profit earned by selling an article for Rs. 744 is twice the loss incurred, if the same article is sold for Rs. 558. What is the cost price of the article?

  1. Rs. 620

  2. Rs. 600

  3. Rs. 610

  4. Rs. 650

  5. None of the above

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

Let CP be x. Profit = 744 - x. Loss = x - 558. Given 744 - x = 2(x - 558). 744 - x = 2x - 1116. 3x = 1860, x = 620.

AI explanation

Let the cost price of the article be C and the loss be L, which makes the profit 2L when sold for Rs. 744. Using the cost price formulas, we have C - L = 558 and C + 2L = 744. Subtracting the first equation from the second gives 3L = 186, so L = 62. The cost price is 558 + 62 = 620.