A cloth merchant sold half of his clothes at 30% profit, half of the remaining clothes at 20% loss, and the rest was sold at his cost price. In the total transaction, what is his gain or loss percentage?

Correct option is B

Given:

Sold half the goods at 30% profit

Sold half of remaining at a loss of 20%

Sold the rest at his cost price

Formula Used:

Profit = SP - CP

Profit Percentage =$$\frac{Profit}{Cost\ Price} \times 100$$​​

Solution:

Let the CP of each quarter be 100

Selling Price = 100 + 30% of 100 = 130

Then, CP of half the stock = $$2 \times 100$$​ =200

SP of half the stock =$$2\times 130$$​ = 260

Sold one quarter at 20% loss

SP = 100 - 20% of 100 = 80

Sold the other quarter at cost price

SP = 100

Total CP = $$4 \times 100$$​ = 400

Total SP = 260 + 80 + 100 = 440

Profit = 440 - 400 = 40

Profit Percentage =$$\frac{40}{400} \times 100 = \bf 10\%$$