Question

    There are 50 students in a school canteen. Due to new admissions, 20 new students join the canteen. The daily expenses of the canteen increase by Rs. 1200, while the average expenditure per student per day decreases by Rs. 6. Find the initial daily expenditure of the canteen.

    A Rs.3550 Correct Answer Incorrect Answer
    B Rs.3600 Correct Answer Incorrect Answer
    C Rs.3000 Correct Answer Incorrect Answer
    D Rs.3665 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the initial average expenditure per student per day be Rs. 'a'. Initial daily expenditure of the mess = 40 × a = Rs. '40a'. New total number of students = 40 + 10 = 50. New average expenditure per student per day = Rs. (a - 4). According to the problem: 40a + 700 = 50 × (a - 4) 40a + 700 = 50a - 200 50a - 40a = 700 + 200 10a = 900 a = 900 / 10 = 90 Initial daily expenditure of the mess = 40 × 90 = Rs. 3600.

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