If 80 percent of total articles are sold at a profit of 25 percent and remaining articles are sold at a loss of 20 percent, then what will be the overall profit percentage?

Given:

The 80% of total article sold at 25% profit

The remaining 20% sold at 20% loss

Concept:

Profit = Selling price -  Cost price

Loss = Cost price - Selling price

Calculation:

Let the total number of items are X and cost price of each items be C

According to the question

The overall cost price =  X × C = XC

The 80% items sold at 25% profit = (0.80 × X) × (1.25C) = XC

The remaining 20% items sold at 20% loss = (0.20 × X) × (0.80 × C) = 0.16XC

The total Selling price = XC + 0.16XC = 1.16XC

The profit percentage = \({1.16XC-XC\over XC}\times 100={0.16 \times 100}=16\%\)

∴ The required result will be 16%.