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Tushar sold 150 chairs and had a gain equal to the selling price of 50 chairs. What is his profit percentage?
Question

Tushar sold 150 chairs and had a gain equal to the selling price of 50 chairs. What is his profit percentage?

A.

60%

B.

50%

C.

55%

D.

45%

Correct option is B

Given:
Number of chairs sold = 150
Gain = Selling Price of 50 chairs
Formula Used:
Profit Percentage=(ProfitCost Price)×100\text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100​​
Solution:
Let the Selling Price (SP) of 1 chair be ₹1
Total SP of 150 chairs = ₹150
Gain = SP of 50 chairs = ₹50
So, Cost Price (CP) = SP – Gain = 150 – 50 = ₹100
Profit Percentage = (50100)×100=50%\left( \frac{50}{100} \right) \times 100 = 50\%

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