If the profit on selling an article for Rs.240 is the same as the loss on…

Step-by-Step Solution

To find the cost price when the profit on selling at one price is equal to the loss on selling at another price, we can use a simple algebraic approach.

1. Define the variables:

   • Let the cost price be C.

   • Profit when selling at Rs. 240 = 240 - C

   • Loss when selling at Rs. 160 = C - 160

2. Set up the equation:

   • Since the profit and loss are equal, we can set them equal to each other:

   • 240 - C = C - 160

3. Solve for C:

   • Add C to both sides: 240 = 2C - 160

   • Add 160 to both sides: 400 = 2C

   • Divide by 2: C = Rs. 200