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Rakesh sold 154 chairs and had a gain equal to the selling price of 66 chairs. What is his profit percentage?
Question

Rakesh sold 154 chairs and had a gain equal to the selling price of 66 chairs. What is his profit percentage?

A.

80%

B.

75%

C.

70%

D.

85%

Correct option is B

Given:
Number of chairs sold = 154
Gain = Selling Price of 66 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 = ₹154
Gain = SP of 54 chairs = ₹66
So, Cost Price (CP) = SP – Gain = 154 – 66 = ₹88
Profit Percentage = (6688)×100=75%\left( \frac{66}{88} \right) \times 100 = 75\%

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