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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?
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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.
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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.
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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?
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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 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 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 2024 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?.
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