Multiple choice

If the profit on selling an article for $Rs.\ 4500$ is thrice of the loss on selling it for $Rs.\ 2500$. Then the cost price of the article is?

  1. $3000$
  2. $2800$
  3. $1400$
  4. $Not\ available$
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A Correct answer
Explanation

Let CP be x. Profit at 4500 is (4500 - x) and loss at 2500 is (x - 2500). Given (4500 - x) = 3 * (x - 2500), we get 4500 - x = 3x - 7500, so 4x = 12000, x = 3000.

AI explanation

Using the condition that profit equals thrice the loss, set up the equation 4500 minus the cost price equal to 3 multiplied by the cost price minus 2500. This simplifies to 4500 plus 7500 equal to 4 multiplied by the cost price, making the total 12000. Dividing 12000 by 4 gives the cost price of Rs. 3000.

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