A trader marked his goods at 12% above the cost price. He sold half the stock at the marked price, one quarter at a discount of 12% on the marked price and the rest at a discount of 30% on the marked price. His total gain is:

Correct option is A

Given:

Marked price above CP = 12%

Sold half the goods at MP

Sold one quarter at a discount of 12%

Sold the rest at 30% discount

Formula Used:

Profit = SP - CP

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

Solution:

Let the CP of each quarter be 100

Marked Price = 100 + 12% of 100 = 112

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

SP of half the stock =$$2\times 112$$​ = 224

Sold one quarter at 12% discount

SP = 112 - 12% of 112 = 98.56

Sold the other quarter at 30% discount

SP = 112 - 30% of 112 = 78.4

Total CP = $$4 \times 100$$ = 400

Total SP = 224 + 98.56 + 78.4 = 400.96

Profit = 400.96 - 400 = 0.96

Profit Percentage = $$\frac{0.96}{400} \times 100 = \bf 0.24\%$$​​