Question

When an article is sold at 5/8 of its selling price, there is a loss of 27%. What will be the profit %(approx.), when the same article is sold at 13/12 of its selling price?
1. 21
2. 26
3. 18
4. 15

Answer 1

Correct Answer - Option 2 : 26

Given:

Article is sold at 5/8 of its selling price,

Loss % = 27%

Formula used:

Profit = SP - CP

Profit % = (Profit/CP) × 100

Loss = CP - SP

Loss % = (Loss/CP) × 100

Calculation:

Let the selling price be Rs. x

When SP is 5x/8, loss% = 27%

⇒ CP = 100 × 5x /(8 × 73)

⇒ 125x/146

SP = Rs. 13x/12

Profit% = {(13x/12) - (125x/146)} × 100 / (125x/146)

⇒ 398/15

⇒ 26.5% ≈ 26%

∴ the correct answer is 26%