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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


  • Average problems


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    • 1. In a village the average age of n people is 42 years. But after the verification it was found that the age of a person had been considered 20 years less than the actual age, so the new average, after the correction,increased by 1. The value of n is :

    • Options
    • A. 21
    • B. 20
    • C. 22
    • D. None of these
    • Discuss
    • 2. The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then :

    • Options
    • A. x = y + z
    • B. 2x = y + z
    • C. 3x = 2y - 2z
    • D. none of these
    • Discuss
    • 3. The average of any 5 consecutive odd natural numbers is k . If two more such numbers , just next to the previous 5 numbers are added , the new average becomes

    • Options
    • A. 2(k+1)
    • B. 2k-3
    • C. 2k+1
    • D. k+2
    • Discuss
    • 4. What is the average of four tenths and five thousandths

    • Options
    • A. 25002
    • B. 2502
    • C. 0.2025
    • D. none
    • Discuss
    • 5. The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is :

    • Options
    • A. 15
    • B. 20
    • C. 21
    • D. data inadequate
    • Discuss
    • 6. There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ?

    • Options
    • A. Rs. 404
    • B. Rs. 514
    • C. Rs. 340
    • D. Rs. 616
    • Discuss
    • 7. On a school?s Annual day sweets were to be equally distributed amongst 112 children. But on that particular day, 32 children were absent. Thus the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get ?

    • Options
    • A. 14
    • B. 16
    • C. 12
    • D. 15
    • Discuss
    • 8. The average monthly salary of 24 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 400. What is the manager's monthly salary ?

    • Options
    • A. Rs. 8840
    • B. Rs. 11,500
    • C. Rs. 12,800
    • D. Rs. 9450
    • Discuss
    • 9. Sriram was conducting an experiment in which the average of 11 observations came to be 92, while the average of first five observations was 89, and that of the last five was 86. What was the measure of the 6th observation ?

    • Options
    • A. 134
    • B. 137
    • C. 139
    • D. 141
    • Discuss
    • 10. The average value of property of Mittal, Ambani and Singhania is Rs.11111 crore. The property of Singhania is as less than the property of Mittal is greater than the average property of both the Singhania and Mittal. The value of property of Ambani is :

    • Options
    • A. Rs.111 crore
    • B. Rs. 1111 crore
    • C. Rs. 11111 crore
    • D. can't be determined
    • Discuss


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