A shopkeeper sold article offering a discount of 5% and earned a profit of 5%. What would have been the percentage of profit earned if no discount was offered?

A shopkeeper sold article offering a discount of 5% and earned a profit of 5%. What would have been the percentage of profit earned if no discount was offered?

A 30

B 28.5

C 24.5

D None of these

Solution

Correct Answer: Option A

Let C.P. be Tk.100.

Then, S.P. = Tk.123.50

Let marked price be Tk. x. Then, 95/100 x = 123.50

x = 12350/95 = Tk.130

Now, S.P. = Tk.130, C.P. = Tk.100

Profit % = 30%.