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    If a shopkeeper bears 25% loss, then which of the following statements is/are correct? Statement A: The cost price of 15 articles is equal to the
    Question

    If a shopkeeper bears 25% loss, then which of the following statements is/are correct? 
    Statement A: The cost price of 15 articles is equal to the selling price of 20 articles.
    Statement B: The cost price of 12 articles is equal to the selling price of 17 articles.

    A.

    Only Statement A is correct.

    B.

    Both Statements A and B are correct.

    C.

    Neither Statement A nor B is correct.

    D.

    Only Statement B is correct.

    Correct option is A

    Given:

    The shopkeeper bears a 25% loss.

    Formula Used:
    If the loss percentage is x, then the relationship between cost price (CP) and selling price (SP) is:

    SP =CP×(1x100)= \text{CP} \times \left(1 - \frac{x}{100}\right)

    Solution :

    For a 25% loss, the selling price is 75% of the cost price:

    SP =CP×75100=CP×0.75 \text{CP} \times \frac{75}{100} = \text{CP} \times 0.75​​

    Statement A:

    The cost price of 15 articles is 15 × CP.

    The selling price of 20 articles is 20 × SP = 20 × 0.75 × CP = 15 × CP

    Statement A is correct.

    Statement B:

    The cost price of 12 articles is 12 × CP.

    The selling price of 17 articles is 17 × SP = 17 × 0.75 × CP = 12.75 × CP

    Statement B is incorrect because the cost price of 12 articles is not equal to the selling price of 17 articles.

    Thus, Statement A is correct, and Statement B is incorrect.

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