Question: The profit obtained by selling an article for Rs 480 is twice the…

2024

Question: The profit obtained by selling an article for Rs 480 is twice the loss obtained by selling for Rs 300. What is the cost price of the article?

Answer: C. 360Let the cost price be x. Profit when sold at Rs 480 = 480 − x. Loss when sold at Rs 300 = x − 300. Set up the equation using the given relation (profit is…

  1. A.

    380

  2. B.

    420

  3. C.

    360

  4. D.

    400

Attempted by 76 students.

Show answer & explanation

Correct answer: C

Let the cost price be x. Profit when sold at Rs 480 = 480 − x. Loss when sold at Rs 300 = x − 300.

Set up the equation using the given relation (profit is twice the loss):

  1. 480 − x = 2(x − 300)

  2. 480 − x = 2x − 600

  3. 480 + 600 = 3x ⇒ 1080 = 3x ⇒ x = 360

Check: Selling at 480 gives profit 480 − 360 = 120. Selling at 300 gives loss 360 − 300 = 60. Since 120 is twice 60, the solution is correct.

Answer: Rs 360

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