Question

If you sell an article for Rs. 24, you lose the same percentage as the item purchased for Rs. What is the price of the item?​

Answer 1

Answer:

CP = Rs.60 or CP = Rs.40 (Both are valid)

Step-by-step explanation:

SP = Selling price = 24

Loss% = x

CP = x

Loss = CP - SP

Loss% = 100*(CP - SP)/CP

x = 100*(x - 24)/x

=> x² = 100x - 2400

=> x² - 100x + 2400 = 0

=> (x - 60)(x - 40) = 0

=> x = 60 or x = 40

The cost price of the item (CP) can be either Rs.60 or Rs.40. Both the answers are valid.