Multiple choice

What is the cost price of an article, which on being sold at a gain of 10% yields Rs. 15 more than when it is sold at a loss of 10%?

  1. Rs. 75

  2. Rs. 85

  3. Rs. 95

  4. Rs. 80

  5. None of these
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A Correct answer
Explanation

Let CP be x. Gain of 10% means SP1 = 1.1x. Loss of 10% means SP2 = 0.9x. Difference = 1.1x - 0.9x = 0.2x. Given 0.2x = 15, x = 15 / 0.2 = 75.

AI explanation

Let the cost price of the article be x rupees. Selling at a 10% gain yields 1.1x rupees, while selling at a 10% loss yields 0.9x rupees. The difference between these selling prices is 1.1x minus 0.9x, which equals 0.2x, and this is given as 15 rupees. Solving for x gives x equals 15 divided by 0.2, which is 75. The result is Rs. 75.

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