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A trader increases the marked price of an article by 40% on cost and sells it after allowing a 20% discount on the marked price. Find his profit perce
Question

A trader increases the marked price of an article by 40% on cost and sells it after allowing a 20% discount on the marked price. Find his profit percentage.

A.

15%

B.

10%

C.

12%

D.

16%

Correct option is C

Given:
Markup percentage = 40%
Discount percentage = 20%
Formula Used:
Profit % = Markup % - Discount % - Markup%×Discount%100\frac{Markup \% × Discount \%}{100}​​
Solution:
Let the Cost Price be 100.
Marked Price = 100 + 40 = 140
Discount = 20% of 140 = 28
Selling Price = 140 - 28 = 112
Profit = Selling Price - Cost Price = 112 - 100 = 12
Profit percentage = 12%
Alternatively, using the successive percentage formula:
Profit % = 40 - 20 - 40×20100\frac{40 × 20}{100}​​
 = 20 - 8 = 12%
Final Answer
So the correct answer is (c)

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