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A dealer makes a profit equal to the selling price of 4 pens when he sells a total of 12 pens. What is his profit percentage?
Question

A dealer makes a profit equal to the selling price of 4 pens when he sells a total of 12 pens. What is his profit percentage?

A.

60%

B.

45%

C.

50%

D.

65%

Correct option is C

Given:
Profit on selling 12 pens = Selling Price of 4 pens
Formula Used:
Profit = Selling Price - Cost Price
Profit Percentage = ProfitCost Price \frac{Profit}{Cost\ Price}​ × 100
Solution:
Let the Selling Price (SP) of 1 pen be 1 unit.
Then, the SP of 12 pens = 12 units.
Profit = SP of 4 pens = 4 units.
Calculate the Cost Price (CP) of 12 pens:
CP = SP - Profit
CP = 12 - 4 = 8 units
Calculate the Profit Percentage:
Profit Percentage = 48\frac{4}{8}​ × 100 = 12 \frac{1}{2}​ × 100 = 50
The profit percentage is 50%.
Final Answer
So the correct answer is (c)

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