Question

if the cost price and selling price of an article is in the ratio 6:8 what is the profit percentage

Answer 1

let the cost price = 6x
selling price = 8x
profit = 8x - 6x = 2x

profit percentage = $\frac{profit}{cost\ price} \times 100= \frac{2x}{6x} \times 100=33.33$

Profit is 33.33%.

Answer 2

profit percentage = profit/cost price ×100
                            = 8x-6x/6x × 100
                           = 2x/6x×100
                           = 100/3
therefore profit is 33.33%.