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      Question

      The total expenses of a hostel are partly fixed and

      partly variable with the number of boys, the change is Rs 200 per head when there are 50 boys and Rs 175 per head when there are 100 boys. Find the charge per head when there are 125 boys in the hostel?
      A Rs 160 Correct Answer Incorrect Answer
      B Rs 150 Correct Answer Incorrect Answer
      C Rs 180 Correct Answer Incorrect Answer
      D Rs 170 Correct Answer Incorrect Answer
      E Rs 165 Correct Answer Incorrect Answer

      Solution

      Let the total charge of hostel be Rs x and Variable charges is Rs y x + y/50 = 200 ……………….(i) x + y/100 = 175 ……………….(ii) By solving these equations, we get y/50 - y/100 = 25 y/100 = 25 y = Rs 2,500 Putting the value of y in eq (i), we get x + 2,500/50 = 200 x + 50 = 200 x = Rs 150 So charge per head when there are 125 boys in the hostel x + y/125 = 150 + 2,500/125 = 150 + 20 = Rs 170

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