If monthly expenditure of a boarding house for 25 children is Rs. 24500, find the monthly expenditure for 18 children.
Home
/
If monthly expenditure of a boarding house for 25 children is Rs. 24500, find the monthly expenditure for 18 children.
Verified answer
Answer:
Step-by-step explanation:To find the monthly expenditure for 18 children, you can use the concept of proportionality. The expenditure is directly proportional to the number of children.
Let
�
E be the monthly expenditure and
�
C be the number of children.
The proportionality can be expressed as:
�
1
�
1
=
�
2
�
2
C
1
E
1
=
C
2
E
2
Where:
�
1
E
1
is the initial expenditure (for 25 children),
�
1
C
1
is the initial number of children (25),
�
2
E
2
is the unknown expenditure (for 18 children),
�
2
C
2
is the unknown number of children (18).
Given that
�
1
=
Rs. 24500
E
1
=Rs. 24500,
�
1
=
25
C
1
=25, and
�
2
=
18
C
2
=18, you can solve for
�
2
E
2
:
24500
25
=
�
2
18
25
24500
=
18
E
2
Cross-multiply to solve for
�
2
E
2
:
24500
×
18
=
25
×
�
2
24500×18=25×E
2
441000
=
25
×
�
2
441000=25×E
2
Now, solve for
�
2
E
2
:
�
2
=
441000
25
E
2
=
25
441000
�
2
=
17640
E
2
=17640
Therefore, the monthly expenditure for 18 children is Rs. 17,640.