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    Question

    A vendor sells sandwiches and burgers in a ratio of 6:5.

    The price ratio of a sandwich to a burger is 5:4. If the total number of sandwiches and burgers sold is 55 and the total revenue earned is Rs. 11,000, what is the price of one sandwich?
    A Rs.200 Correct Answer Incorrect Answer
    B Rs.120 Correct Answer Incorrect Answer
    C Rs.520 Correct Answer Incorrect Answer
    D Rs.220 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Number of sandwiches sold = (6/11) × 55 = 30

    Number of burgers sold = (5/11) × 55 = 25
    Let, the price of a sandwich and a burger be Rs. 5x and Rs. 4x respectively.

    According to the question,

    5x × 30 + 4x × 25 = 11000

    150x + 100x = 11000

    250x = 11000

    x = 11000/250

    x = 44

    Therefore, price of a sandwich = 5 × 44 = Rs.220

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