Multiple choice

An article when sold at a gain of 5% yields Rs. 15 more than when it is sold at a loss of 5%. Then, the cost price of that article (in Rs.) is

  1. 75

  2. 100

  3. 150

  4. 200

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

Let CP be x. Gain of 5% means SP1 = 1.05x. Loss of 5% means SP2 = 0.95x. Difference = 0.10x = 15. So x = 150.

AI explanation

The difference between a 5 percent profit and a 5 percent loss on the cost price is 10 percent of the cost price. Using the given difference of Rs. 15, we set up the equation 10 percent of the cost price equals 15. Solving this gives a cost price of Rs. 150.