Question

Table given below shows the marked price and selling price of five different articles A, B, C, D and E.

Article	Marked Price	Selling Price
A	625	500
B	750	650
C	450	350
D	385	275
E	425	350

Profit% \(=\left(\frac{Marked\:price -Selling\:price}{Marked\:price}\right)\times 100\)

Which of the following is the correct order of profit percentage?

1. E > A > C > D > B
2. C > D > A > E > B
3. D > C > A > E > B
4. A > C > D > E > B 

Answer 1

Correct Answer - Option 3 : D > C > A > E > B

Given:

The marked price of A, B, C, D, and E respectively = 625, 750, 450, 385, and 425

The selling price of A, B, C, D, and E respectively = 500, 650, 350, 275, and 350

Formula used:

\(P\% \ =\left(\frac{Marked\:price -Selling\:price}{Marked\:price}\right)\times 100\)

(Where, P = Profit percentage)

Calculation:

⇒ The profit% of A = \({625\ -\ 500 \over 625}\times 100\ =\ 20\%\)

⇒ The profit% of B = \({750\ -\ 650 \over 750}\times 100\ = 13.33\%\)

⇒ The profit% of C = \({450\ -\ 350\over 450}\times 100\ =\ 22.22\%\) 

⇒ The profit% of D = \({385\ -\ 275\over 385}\times 100\ =\ 28.57\%\)

⇒ The profit% of E = \({425\ -\ 350\over 425}\times 100\ = \ 17.64\%\)

⇒ The required sequence = D > C > A > E > B

∴ The required result will be "D > C > A > E > B".

 Profit = (Selling price) - (Cost price)

Discount = (Marked price) - (Selling price)