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1. A trader sells his goods at a discount 20% . He still makes a profit of 25% . If he sells the goods at the marked price only, his profit will be:
- A. 56. 25%
- B. 56. 25%
- C. 56. 25%
- D. 56. 25%
Answer: Option A
Explanation:
Let the marked price = Tk. 100
Then, SP = 100 - 20% of 100 = Tk. 80
Profit = 25%
Let His CP = X
SP = 80
X + 25% of X = 80
Hence, X = Tk. (100 × 80)/125
= Tk. 64
CP = Tk. 64
Profit after selling on marked price = 100 - 64 = Tk. 36
% gain = (36 × 100)/64
= 56.25%
Then, SP = 100 - 20% of 100 = Tk. 80
Profit = 25%
Let His CP = X
SP = 80
X + 25% of X = 80
Hence, X = Tk. (100 × 80)/125
= Tk. 64
CP = Tk. 64
Profit after selling on marked price = 100 - 64 = Tk. 36
% gain = (36 × 100)/64
= 56.25%
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