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  • Question
  • The average expenditure of the hotel when there are 10 guests is Rs. 60 per guests and the average expenditure is Rs.40 when there are 20 Guests. If it is known that there are some fixed expenses irrespective of the number of guests then the average expenditure per guest whe there are 40 guests in the hotel.


  • Options
  • A. Rs. 30
  • B. Rs. 25
  • C. Rs. 20
  • D. can't be determined

  • Correct Answer
  • Rs. 30 

    Explanation

    Let the fixed expenditure of the hotel be Rs.x and the variable expenditure ( which is dependent on the guest ) is Rs.y , then 

              x + 10y = 600        ---------(1)

              x + 20y = 800       ----------(2)

    From (1) & (2)

    10y = 200 

    =>  y = Rs. 20   and    x= 400

     

    Hence the total expenditure when there are 40 guests = 400 + 40 x 20 = 1200

     

    Therefore,  average expenditure = 1200/40 = Rs. 30


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