The selling price of an item is 20% less than its marked price. The marked price of the item is 30% more than the cost price. What is the profit percentage?

The marked price of the item is 30% more than the cost price.

Let's assume the cost price is '100y'.

marked price = 100y of (100+30)%

= 100y of 130%

= $$100y\times\frac{130}{100}$$

= 130y

The selling price of an item is 20% less than its marked price.

marked price of (100-20)% = selling price

130y of 80% = selling price

selling price = $$130y\times\frac{80}{100}$$

= 104y

Profit percentage = $$\frac{selling\ price - cost\ price}{cost\ price}\times100$$

= $$\frac{104y - 100y}{100y}\times100$$

= $$\frac{4y}{100y}\times100$$

= 4%