CAT Exam > CAT Questions > Total expenses of running the hostel at IIM...
Start Learning for Free
Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?
- a)55
- b)56
- c)54
- d)50
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Total expenses of running the hostel at IIM Ahmedabad are partly fix...
When there are 25 borders, the total expenses are Rs.1750. When there are 50 borders, the total expenses are Rs. 3000. The change in expense due to the coming in of 25 borders is Rs. 1250. Hence, expense per boarder is equal to Rs.50. This also means that when there are 25 borders, the variable cost would be 25 X 50 = Rs.1250. Hence, Rs.500 must be the fixed expenses.
View all questions of this test
So for 100 boarders, the total cost would be: Rs. 500
(fixed) + Rs. 5000 = Rs.5500
Most Upvoted Answer
Total expenses of running the hostel at IIM Ahmedabad are partly fix...
To solve this problem, let's assume that the fixed expenses are denoted by 'f' and the variable expenses per boarder are denoted by 'v'.
Given that the average expense per boarder is Rs.70 when there are 25 boarders, we can write the following equation:
f + 25v = 70 --------- (1)
Similarly, when there are 50 boarders, the average expense per boarder is Rs.60, so we can write another equation:
f + 50v = 60 --------- (2)
We need to find the average expense per boarder when there are 100 boarders. Let's assume it is 'x'. So we can write another equation:
f + 100v = x --------- (3)
Now, we have three equations with three variables: f, v, and x. We can solve these equations simultaneously to find the values of f, v, and x.
Solving equations (1) and (2) simultaneously:
Multiply equation (1) by 2 and subtract equation (2) from it:
2f + 50v - (f + 50v) = 140 - 60
f = 80
Now, substitute the value of f in equation (1) to find the value of v:
80 + 25v = 70
25v = 70 - 80
25v = -10
v = -10/25
v = -0.4
Since the number of boarders cannot be negative, this value of v is not valid in this context. It means that the assumption we made initially (that the variable expenses per boarder are linear) is not true.
Therefore, we cannot find the average expense per boarder when there are 100 boarders using the given information and the assumption.
Given that the average expense per boarder is Rs.70 when there are 25 boarders, we can write the following equation:
f + 25v = 70 --------- (1)
Similarly, when there are 50 boarders, the average expense per boarder is Rs.60, so we can write another equation:
f + 50v = 60 --------- (2)
We need to find the average expense per boarder when there are 100 boarders. Let's assume it is 'x'. So we can write another equation:
f + 100v = x --------- (3)
Now, we have three equations with three variables: f, v, and x. We can solve these equations simultaneously to find the values of f, v, and x.
Solving equations (1) and (2) simultaneously:
Multiply equation (1) by 2 and subtract equation (2) from it:
2f + 50v - (f + 50v) = 140 - 60
f = 80
Now, substitute the value of f in equation (1) to find the value of v:
80 + 25v = 70
25v = 70 - 80
25v = -10
v = -10/25
v = -0.4
Since the number of boarders cannot be negative, this value of v is not valid in this context. It means that the assumption we made initially (that the variable expenses per boarder are linear) is not true.
Therefore, we cannot find the average expense per boarder when there are 100 boarders using the given information and the assumption.
Free Test
FREE
| Start Free Test |
Community Answer
Total expenses of running the hostel at IIM Ahmedabad are partly fix...
Coorectbis @
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?a) 55b) 56c) 54d) 50Correct answer is option 'A'. Can you explain this answer?
Question Description
Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?a) 55b) 56c) 54d) 50Correct answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?a) 55b) 56c) 54d) 50Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?a) 55b) 56c) 54d) 50Correct answer is option 'A'. Can you explain this answer?.
Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?a) 55b) 56c) 54d) 50Correct answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?a) 55b) 56c) 54d) 50Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?a) 55b) 56c) 54d) 50Correct answer is option 'A'. Can you explain this answer?.
Solutions for Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?a) 55b) 56c) 54d) 50Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?a) 55b) 56c) 54d) 50Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?a) 55b) 56c) 54d) 50Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?a) 55b) 56c) 54d) 50Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?a) 55b) 56c) 54d) 50Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Total expenses of running the hostel at IIM Ahmedabad are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs.70 when there are 25 borders and Rs.60 when there are 50 borders. What is the average expense per border when there are 100 borders?a) 55b) 56c) 54d) 50Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup