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      Question

      There are only 220 students living in hostel. If 20

      students left hostel, then overall expenditure of mess is reduced by Rs. 800 weekly but per student weekly expenditure increased by Rs. 1. Find out initial overall expenditure of mess weekly?
      A Rs. 13,000 Correct Answer Incorrect Answer
      B Rs. 12,650 Correct Answer Incorrect Answer
      C Rs. 14,520 Correct Answer Incorrect Answer
      D Rs. 11,000 Correct Answer Incorrect Answer

      Solution

      Let the expenses of per student per week= Rs. x Hence, total expenditure of 220 students per week = Rs. 220x According to the question, 220x – 800 = (220 – 20 ) × (x + 1) 220x – 800 = 200x + 200 220x - 200x = 200 + 800 x = 50 Initial expenditure of mess weekly= 50 × 220 = Rs. 11,000

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