Multiple choice

The cost price of an article, which on being sold at a gain of 12% yields Rs. 6 more than when it is sold at a loss of 12% is

  1. Rs 30

  2. Rs 25

  3. Rs 20

  4. Rs 24

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

Let CP = x. Gain 12% = 1.12x. Loss 12% = 0.88x. Difference = 1.12x - 0.88x = 0.24x. 0.24x = 6. x = 6 / 0.24 = 25.

AI explanation

Let the cost price be x. The selling price at a 12% gain is 1.12x, and the selling price at a 12% loss is 0.88x. The difference between the two is 1.12x - 0.88x = 0.24x. Since this difference is Rs. 6, solving 0.24x = 6 gives x = 25. The cost price is Rs. 25.