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    The cost price of y articles is equal to selling price of z articles. If y : z =5 : 4, what is the profit percentage?
    Question

    The cost price of y articles is equal to selling price of z articles. If y : z =5 : 4, what is the profit percentage?

    A.

    20%

    B.

    25%

    C.

    30%

    D.

    40%

    Correct option is B

    Given:

    The cost price of y articles is equal to the selling price of z articles.

    y ∶ z = 5 ∶ 4

    Concept Used:

    Profit Percentage = (Profit / Cost Price) × 100

    Solution:

    Let the cost price of each article be C and the selling price of each article be S.

    Given that the cost price of y articles is equal to the selling price of z articles:

    => yC = zS

    Given y ∶ z = 5 ∶ 4, we can write:

    => 5C = 4S

    => S = (5/4)C

    Profit per article = Selling Price - Cost Price

    => Profit = S - C

    => Profit = (5/4)C - C

    => Profit = (5C - 4C)/4

    => Profit = C/4

    Profit Percentage = (Profit / Cost Price) × 100

    => Profit Percentage = (C/4C) × 100

    => Profit Percentage = (1/4) × 100

    => Profit Percentage = 25%

    Hence, the correct answer is option b.

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