Question

    Mohit purchased some toffees at a rate of Rs 20 for

    every 50 toffees. Additionally, he bought twice as many toffees at a price of Rs 1.50 per piece. He then sold all the toffees at a rate of Rs 12 for every 20 toffees. In the end, he incurred a total loss of Rs 200. How many toffees did he purchase in total?
    A 375 Correct Answer Incorrect Answer
    B 425 Correct Answer Incorrect Answer
    C 250 Correct Answer Incorrect Answer
    D 575 Correct Answer Incorrect Answer
    E 325 Correct Answer Incorrect Answer

    Solution

    Let the number of toffees bought at the rate of Rs 20 for 50 be "a"
    Then total money invested in these toffees = 20/50 x a = 2a/5
    Number of toffees brought at the rate of Rs1.50 each = 2a
    Total money invested in these toffees = 1.50 x 2a = 3a
    Total cost of toffees to Mohan = 2a/5 + 3a = 17a/5
    Total revenue realized by selling them at 20 for Rs 12 = 12/20 x (a + 2a) = 9a/5
    Overall loss is 200
    So,
    17a/5 - 9a/5 = 200
    8a/5 = 200
    a = 125
    total number of toffees purchased = 3a = 375

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