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    Question

    Determine the original price of an item purchased by A

    from a shopkeeper. A received a discount of 20%, while B bought the same item with a 37.5% discount and paid Rs. 1500 for it.
    A Rs.1220 Correct Answer Incorrect Answer
    B Rs.1520 Correct Answer Incorrect Answer
    C Rs.2400 Correct Answer Incorrect Answer
    D Rs.3250 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the original price of the item be Rs. X. B got a 37.5% discount, so he paid 62.5% of the original price. This means:

    Multiply both sides by 8/5 to find X:

    Hence, the original price of the item is Rs.2400

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