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.
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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