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In a hostel its cost 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 its cost 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.
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In a hostel its cost rs 1800 to keep 50 children for 8 weeks.for what ...
Cost Analysis of Keeping Children in a Hostel
To determine the duration for which 90 children can be accommodated with a budget of Rs 21,060, we first need to calculate the cost per child per week based on the initial scenario provided.
Step 1: Calculate Cost Per Child Per Week
- Total cost for 50 children for 8 weeks: Rs 1800
- Total number of child-weeks = 50 children * 8 weeks = 400 child-weeks
- Cost per child per week = Total cost / Total child-weeks
= 1800 / 400 = Rs 4.5 per child per week
Step 2: Calculate Total Child-Weeks for Rs 21,060
- Total cost = Rs 21,060
- Cost per child per week = Rs 4.5
- Total child-weeks = Total cost / Cost per child per week
= 21060 / 4.5 = 4680 child-weeks
Step 3: Calculate Duration for 90 Children
- Total number of children = 90
- Duration in weeks = Total child-weeks / Number of children
= 4680 / 90 = 52 weeks
Conclusion
Thus, the cost of keeping 90 children for Rs 21,060 amounts to a total duration of 52 weeks. This analysis provides a clear breakdown of costs and helps in understanding the budgeting for accommodating children in the hostel effectively.
To determine the duration for which 90 children can be accommodated with a budget of Rs 21,060, we first need to calculate the cost per child per week based on the initial scenario provided.
Step 1: Calculate Cost Per Child Per Week
- Total cost for 50 children for 8 weeks: Rs 1800
- Total number of child-weeks = 50 children * 8 weeks = 400 child-weeks
- Cost per child per week = Total cost / Total child-weeks
= 1800 / 400 = Rs 4.5 per child per week
Step 2: Calculate Total Child-Weeks for Rs 21,060
- Total cost = Rs 21,060
- Cost per child per week = Rs 4.5
- Total child-weeks = Total cost / Cost per child per week
= 21060 / 4.5 = 4680 child-weeks
Step 3: Calculate Duration for 90 Children
- Total number of children = 90
- Duration in weeks = Total child-weeks / Number of children
= 4680 / 90 = 52 weeks
Conclusion
Thus, the cost of keeping 90 children for Rs 21,060 amounts to a total duration of 52 weeks. This analysis provides a clear breakdown of costs and helps in understanding the budgeting for accommodating children in the hostel effectively.
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In a hostel its cost 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?
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In a hostel its cost 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 2024 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 its cost 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 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a hostel its cost 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 its cost 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 2024 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 its cost 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 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a hostel its cost 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?.
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