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Gopal sold 152 chairs and had a gain equal to the selling price of 76 chairs. What is his profit percentage?
Question

Gopal sold 152 chairs and had a gain equal to the selling price of 76 chairs. What is his profit percentage?

A.

100%

B.

105%

C.

110%

D.

95%

Correct option is A

Given:
Number of chairs sold = 152
Gain = Selling Price of 76 chairs
Formula Used:
Profit Percentage=(ProfitCost Price)×100\text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100​​
Solution:
Assume Selling Price (SP) of 1 chair = ₹1 for simplicity.
Total SP of 152 chairs = ₹152
Profit = SP of 76 chairs = ₹76
Cost Price (CP) = SP – Profit = ₹152 – ₹76 = ₹76​
Profit Percentage = 7676×100=100%\frac {76}{76} × 100 = 100\%​​


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