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    A ratio of the cost price and the selling price of an article is 4 : 5. What is the percentage gain or loss?
    Question

    A ratio of the cost price and the selling price of an article is 4 : 5. What is the percentage gain or loss?

    A.

    20% gain

    B.

    20% loss

    C.

    25% loss

    D.

    25% gain

    Correct option is D

    Given:

    Cost Price (CP) : Selling Price (SP) = 4 : 5.

    Formula Used:

    Profit % =(ProfitCost Price)×100 \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100

    Solution:

    Let the Cost Price = ₹4,
    Then the Selling Price = ₹5

    So, Profit = SP - CP = 5 - 4 = ₹1

    Now,

    Profit %=(14)×100=25% = \left( \frac{1}{4} \right) \times 100 = 25\%

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