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Kanchan sold 153 chairs and had a gain equal to the selling price of 78 chairs. What is his profit percentage?
Question

Kanchan sold 153 chairs and had a gain equal to the selling price of 78 chairs. What is his profit percentage?

A.

104%

B.

114%

C.

109%

D.

99%

Correct option is A

Given:

Number of chairs sold = 153
Gain = Selling Price of 78 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 154 chairs = ₹153
Gain = SP of 54 chairs = ₹78
So, Cost Price (CP) = SP – Gain = 153 – 78 = ₹75
Profit Percentage = (7875)×100=104%\left( \frac{78}{75} \right) \times 100 = 104\%

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