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    A profit of 20% is earned by selling an article for Rs.2,400. If the same article were sold for Rs.2,600, then the gain percentage would be:
    Question

    A profit of 20% is earned by selling an article for Rs.2,400. If the same article were sold for Rs.2,600, then the gain percentage would be:

    A.

    35%

    B.

    25%

    C.

    30%

    D.

    20%

    Correct option is C

    Given:
    Selling Price= Rs.2,400
    Profit = 20%
    Again, same article selling price =Rs. 2,600
    Formula Used:
    Gain Percentage=(GainCost Price)×100\text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{Cost Price}} \right) \times 100​​
    Solution:
    Cost Price = Selling Price1+Profit Percentage100\frac{\text{Selling Price}}{1 + \frac{\text{Profit Percentage}}{100}}​​
    Cost Price = 24001+20100\frac{2400}{1 + \frac{20}{100}}​ = Rs. 2000
    New Selling Price = Rs. 2600
    New Profit = New Selling Price - Cost Price = 2600 - 2000 = Rs. 600
    Gain Percentage=(GainCost Price)×100\text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{Cost Price}} \right) \times 100 = (6002000)×100\left( \frac{600}{2000} \right) \times 100​ = 30%

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