Correct Answer - Option 3 : Rs. 22,500
Given:
The cost price of smartphone is Rs. 15,000.
The retailer gave 20% discount on the marked price.
Phone is sold at 20% profit.
Concepts used:
M.P. = S.P. + Discount
Discount % = Discount/M.P. × 100
Profit % = Profits/C.P. × 100
Profits = S.P. – C.P.
Calculation:
C.P. of smartphone = Rs. 15,000
Let M.P. of smartphone be Rs. x.
Discount % = 20
⇒ {(x – S.P.)/x} × 100 = 20
⇒ S.P. = 4x/5
Profit % = 20
⇒ {(4x/5) – 15,000)/15,000} × 100 = 20
⇒ x = Rs. 22,500
∴ M.P. of smartphone is Rs. 22,500.