Class 8 Exam > Class 8 Questions > In a hostel it costs rs 1800 to keep 50 child...
Start Learning for Free
In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060?
Verified Answer
In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what ...
The hostel cost for 50 children for 8 weeks = rs.1800.
The hostel cost for 1 child for 8 weeks = 1800/50
The hostel cost for 1 child for 1 week = 1800/50 * 8
So, the hostel cost for 90 children for 1 week = (1800 * 90)/(50 * 8)
The cost of keeping 90 children for x number of weeks = Rs. 21060
Thus,
(1800 * 90 * x)/(50 * 8) = 21060
x = (21060 * 50 * 8)/(1800 * 90)
x = 8424000/162000
x = 52
So, the answer is 52 weeks.
This question is part of UPSC exam. View all Class 8 courses
Most Upvoted Answer
In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what ...
Given:
- Cost of keeping 50 children for 8 weeks = Rs 1800
- Cost of keeping 90 children = Rs 21060
To Find:
Length of time for keeping 90 children
Solution:
To solve this problem, we can use the concept of proportionality.
Let's define the variables:
- C1 = Cost of keeping 50 children for 8 weeks
- C2 = Cost of keeping 90 children
- T1 = Time in weeks for keeping 50 children
- T2 = Time in weeks for keeping 90 children
Proportion 1:
C1/T1 = Rs 1800/8
Proportion 2:
C2/T2 = Rs 21060/T2
Since the cost and the number of children are directly proportional, we can set up the following equation:
C1/C2 = T1/T2
Substituting the values we know:
Rs 1800/8 = Rs 21060/T2
Simplifying the equation:
Rs 225 = Rs 21060/T2
Cross-multiplying:
225T2 = 21060
Dividing both sides by 225:
T2 = 21060/225
T2 = 93.6 weeks
Conclusion:
The cost of keeping 90 children amounts to Rs 21060 for approximately 93.6 weeks.
- Cost of keeping 50 children for 8 weeks = Rs 1800
- Cost of keeping 90 children = Rs 21060
To Find:
Length of time for keeping 90 children
Solution:
To solve this problem, we can use the concept of proportionality.
Let's define the variables:
- C1 = Cost of keeping 50 children for 8 weeks
- C2 = Cost of keeping 90 children
- T1 = Time in weeks for keeping 50 children
- T2 = Time in weeks for keeping 90 children
Proportion 1:
C1/T1 = Rs 1800/8
Proportion 2:
C2/T2 = Rs 21060/T2
Since the cost and the number of children are directly proportional, we can set up the following equation:
C1/C2 = T1/T2
Substituting the values we know:
Rs 1800/8 = Rs 21060/T2
Simplifying the equation:
Rs 225 = Rs 21060/T2
Cross-multiplying:
225T2 = 21060
Dividing both sides by 225:
T2 = 21060/225
T2 = 93.6 weeks
Conclusion:
The cost of keeping 90 children amounts to Rs 21060 for approximately 93.6 weeks.
|
|
Explore Courses for Class 8 exam
|
|
Top Courses for Class 8View all
In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060?
Question Description
In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060?.
In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060?.
Solutions for In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060? defined & explained in the simplest way possible. Besides giving the explanation of
In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060?, a detailed solution for In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060? has been provided alongside types of In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060? theory, EduRev gives you an
ample number of questions to practice In a hostel it costs rs 1800 to keep 50 children for 8 weeks.For what length of time did the cost of keeping 90 children amount to rs 21060? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 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