Question

Table given below shows the cost price and selling price of five different articles.

	Cost Price	Selling Price
A	350	400
B	280	340
C	215	245
D	270	330
E	330	390

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

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

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

Answer 1

Correct Answer - Option 2 : C < A < E < B < D

Given:

The cost price of A to E = 350, 280, 215, 270, and 330 respectively

The selling price of A to E = 400, 340, 245, 330, and 390 respectively

Formula used:

\(P\% = {SP\ -\ CP \over CP}\times 100\)     (Where P = The profit, SP = The selling price and CP = The cost price)

Calculation:

⇒ The profit% of A = \({400\ -\ 350 \over 350}\times 100 = 14.28\%\) 

⇒ The profit% of B = \({340\ -\ 280 \over 280}\times 100\ =\ 21.42\%\)

⇒ The profit% of C = \({245\ -\ 215 \over 215}\times 100\ =\ 13.95\%\)

⇒ The profit% of D = \({330\ -\ 270 \over 270}\times 100 =\ 22.22\%\)

⇒ The profit% of E = \({390\ -\ 330 \over 330}\times 100\ = \ 18.18\%\)

⇒ The order = C < A < E < B < D

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