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- Question
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
- Correct Answer
- Rs. 616
ExplanationLet the average expenditure per head be Rs. p
Now, the expenditure of the mess for old students is Rs. 44p
After joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3
Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33
Therefore, 59(p-3) = 44p + 33
59p - 177 = 44p + 33
15p = 210
=> p = 14
Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616. - 1. 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 Discuss
- 2. 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
- 3. 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
- 4. 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
- 5. What is the average of four tenths and five thousandths
Options- A. 25002
- B. 2502
- C. 0.2025
- D. none Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 8 years ago there were 5 members in the Arthur's family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now. What is the age of his wife at the time of his child's birth was.If the difference between the age of her child and herself was 26 years.
Options- A. 25 years
- B. 26 years
- C. 20 years
- D. can't be determined Discuss
Average problems
Search Results
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
Correct Answer: 20
Explanation:
It is the same as a person with 20 years more age replaces an existing person of the group ( or village)
Since the total age of the village having n persons, is being increased by 20 years and the average age of village is being increased by 1 year, hence there are total 20 people in the village.
Alternatively : ( n x 42 ) + 20 = ( n x 43 )
=> n=20
Correct Answer: 2x = y + z
Explanation:
Clearly, we have : x = (3y + 3z ) / 6 or 2x = y + z.
Correct Answer: k+2
Explanation:
The 5 consecutive odd numbers whose average is k are (k-4), (k-2), k, (k+2), (k+4)
Again the average of (k-4), (k-2), k, (k+2), (k+4), (k+6), (k+8) is (k+2)
Correct Answer: 0.2025
Explanation:
Four tenths = 0.4
Five thousandths = 0.005
The average is (0.4 + 0.005)/2 = 0.2025
Correct Answer: 15
Explanation:
Let 'K' be the total number of sweets.
Given total number of students = 112
If sweets are distributed among 112 children,
Let number of sweets each student gets = 'L'
=> K/112 = L ....(1)
But on that day students absent = 32 => remaining = 112 - 32 = 80
Then, each student gets '6' sweets extra.
=> K/80 = L + 6 ....(2)
from (1) K = 112L substitute in (2), we get
112L = 80L + 480
32L = 480
L = 15
Therefore, 15 sweets were each student originally supposed to get.
Correct Answer: Rs. 11,500
Explanation:
Manager's monthly salary
= Rs. (1900 x 25 - 1500 x 24) = Rs. 11,500
Correct Answer: 137
Explanation:
Correct Answer: Rs. 11111 crore
Explanation:
also ( M - 11111 = 11111 - S)
=>A = 11111
Correct Answer: 26 years
Explanation:
Since we know that the difference b/w the age of any two persons remains always constant, while the ratio of their ages gets changed as the time changes.
so, if the age of his child be x (presently)
Then the age of wife be x + 26 (presently)
Thus the total age = x + ( x + 26) = 32 [ 252-220 =32]
=> x = 3
Therefore, The age of her child is 3 years and her self is 29 years. Hence her age at the time of the birth of her child was 26 years.
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