Multiple choice

The percentage of profit made when an article is sold for Rs. 81 is thrice when it is sold for Rs. 67. Find the cost price of the article.

  1. Rs. 65

  2. Rs. 60

  3. Rs. 57

  4. Rs. 49
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be x. Profit1 = 81 - x. Profit2 = 67 - x. Given 81 - x = 3 * (67 - x). 81 - x = 201 - 3x. 2x = 120, x = 60.

AI explanation

Let the cost price be x and the profit percent when sold for Rs. 67 be p. When sold for Rs. 81, the profit is thrice as much, so the equation is 81 - x = 3p. The first equation is 67 - x = p. Multiplying the second equation by 3 gives 201 - 3x = 3p. Setting them equal, 81 - x = 201 - 3x, which yields 2x = 120. The cost price is Rs. 60.

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