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Atul bought a bicycle at three-fourth price of its marked price and sold it at 20% more than its marked price. What will be the profit percentage?
Question

Atul bought a bicycle at three-fourth price of its marked price and sold it at 20% more than its marked price. What will be the profit percentage?

A.

35%

B.

55%

C.

60%

D.

75%

Correct option is C

Given
Cost Price (CP) = 34\frac{3}{4} ​of Marked Price (MP)
Selling Price (SP) = MP + 20%20\%​ of MP

Formula Used
Profit%=SPCPCP×100Profit \% = \frac{SP - CP}{CP} \times 100​​

Solution
Let the Marked Price (MP) be 100.
Then, Cost Price (CP) = 34×100=75\frac{3}{4} \times 100 = 75​​
Selling Price (SP) = 100+20% of 100=120100 + 20\% \text{ of } 100 = 120​​
Profit = SP - CP = 120 - 75 = 45
Profit%=4575×100 Profit%=35×100=60%Profit \% = \frac{45}{75} \times 100\\\ \\Profit \% = \frac{3}{5} \times 100 = 60\%​​

Final Answer
So the correct answer is (c)

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