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  • Question
  • In a mens hostel, there were 95 students. To accommodate 30 more students the average is decreased by rupees 5. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now ?


  • Options
  • A. Rs. 4680
  • B. Rs. 4420
  • C. Rs. 4960
  • D. Rs. 5480

  • Correct Answer
  • Rs. 4680 

    Explanation

    Let the expenditure on the 95 students be 'x'

    Then,

    95x + 500 = 120(x ? 5)
    95x + 500 = 120x - 600
    120x - 95x = 1100
    25x = 1100
    => x = 44

    Therefore, total expenditure of the hostel becomes
    95 x 44 + 500 = 4680.


  • Average problems


    Search Results


    • 1. The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3:5:7, the price of the cheapest item is :

    • Options
    • A. 6000
    • B. 7000
    • C. 8888
    • D. 9000
    • Discuss
    • 2. The average of 9 results is 50. The average of the first four results is 52 and the average of the last four results is 49. what is the fifth result?

    • Options
    • A. 48
    • B. 46
    • C. 52
    • D. 44
    • Discuss
    • 3. In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?

    • Options
    • A. 6
    • B. 12
    • C. 24
    • D. 18
    • Discuss
    • 4. P, Q, R, S, T and U are six consecutive odd numbers and their average is 52. What is the product of P and U ?

    • Options
    • A. 2212
    • B. 2154
    • C. 2349
    • D. 2679
    • Discuss
    • 5. The average age of 36 students in a group is 14 years. When the teacher's age is included in it, the average increases by one. The teacher's age in years is

    • Options
    • A. 31
    • B. 51
    • C. 36
    • D. 54
    • Discuss
    • 6. David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ?

    • Options
    • A. 75
    • B. 68
    • C. 65
    • D. 60
    • Discuss
    • 7. The mean of 100 observations is 40. It is found that an observation 84 was misread as 48. Then the correct mean is ?

    • Options
    • A. 40.36
    • B. 41.24
    • C. 41.92
    • D. 42.05
    • Discuss
    • 8. Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop?

    • Options
    • A. 15 minutes
    • B. 20 minutes
    • C. 18 minutes
    • D. 22 minutes
    • Discuss
    • 9. The average age of 7 boys is increased by 1 year when one of tem whose age is replaced by a girl. What is the age of the girl ?

    • Options
    • A. 33 yrs
    • B. 27 yrs
    • C. 21 yrs
    • D. 29 yrs
    • Discuss
    • 10. In Arun's opinion, his weight is greater than 65 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?

    • Options
    • A. 55.5 kg
    • B. 66.5 kg
    • C. 77.5 kg
    • D. 88.5 kg
    • Discuss


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