Question

The purchase price of 30 items is equal to the selling price of 40 items. Find the % of profit or loss in sales.

A. 20% loss

B. 25% profit

C. 25% loss

D. 20% profit

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

Answer 1

Correct Answer - Option 3 : C

Given:

CP of 30 items = SP of 40 items

Formula used:

Loss% = (CP – SP)/CP × 100

Calculation:

CP of 30 items = SP of 40 items

⇒ 30 × CP = 40 × SP

⇒ CP/SP = 40/30

⇒ SP/CP = 3/4

⇒ 1 – SP/CP = 1 – 3/4                            [Subtract in 1 both sides]

⇒ (CP – SP)/CP = (4 – 3)/4

⇒ (CP – SP)/CP × 100 = 1/4 × 100         [Multiply 100 both sides]

⇒ Loss% = 25%

∴ The loss% in sale is 25%.