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    Students in a class are solving questions based on percentage discounts. One question requires the students to calculate the cost of two bikes, with a
    Question

    Students in a class are solving questions based on percentage discounts. One question requires the students to calculate the cost of two bikes, with a 8% discount on each bike. One of the groups calculate the total cost of the bike and then deducts 16% from the total cost. The method used by this group is:

    A.

    False, since they have deducted 16% from the total instead of 16% from the average of the total.

    B.

    Correct and is the only way to calculate the discount and cost.

    C.

    An alternate strategy to solve the question.

    D.

    False, since they have deducted 16% discount from the total instead of 8%.

    Correct option is D

    The correct answer is (D) False, since they have deducted 16% discount from the total instead of 8%.
    Explanation:
    Each bike has a discount of 8%, not 16%.
    When the group adds the total cost of both bikes and then deducts 16%, they are doubling the discount incorrectly.
    The correct method is to calculate 8% discount on each bike individually and then add the discounted prices to get the total cost.
    So, the method used by the group gives an incorrect result because discounts are applied per item, not by doubling the percentage for multiple items.
    Additional Information (Other Options):
    (A) False, since they have deducted 16% from the total instead of 16% from the average of the total:
    Incorrect — the error isn’t about the “average,” it’s about applying double the discount instead of the correct 8%.
    (B) Correct and is the only way to calculate the discount and cost:
    Wrong — the method is mathematically incorrect and not the only way.
    (C) An alternate strategy to solve the question:
    Incorrect — this is not an acceptable alternate method; it changes the discount percentage and gives a wrong answer.

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