Question

1. If monthly expenditure of a hostel for 10
children is₹9500 than find the montly
expenditure of the hostel for 15 children?​

Answer 1

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Question :-

If the monthly expenditure of a hostel for 10 children is ₹9,500 than find the monthly expenditure of the hostel for 15 children ?

$\rule{400}{4}$

Answer :-

Given :-

Monthly expenditure for 10 students = ₹ 9,500

No. of students = 10

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Required to find :-

1. Monthly expenditure of the hostel for 15 students ?

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Explanation :-

In the question it is given that Monthly expenditure of a hostel for 10 students is ₹9,500 .

He asked us to find the monthly expenditure of the hostel for 15 students .

In order to find the monthly expenditure of 15 students we need to find the expenditure of the hostel for 1 student .

To find the monthly expenditure of the hostel on 1 student.

We need to divide the given expenditure in the first statement by No. of students .

In this way we can find the expenditure for 1 student .

This value which we got as the expenditure for 1 student will enable us to find the Monthly expenditure of the hostel for 15 students .

Here, we should multiply the number of students with the expenditure for 1 student .

Hence, your question is Solved .

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Solution :-

Given ;

Monthly expenditure of a hostel for 10 students = ₹9,500

No. of students = 10 students

However,

Monthly expenditure of a hostel for 1 student = ?

Here , we should apply a bit of logic

10 students = ₹9,500

1 student = ?

Hence ,

Let's consider the expenditure for 1 student is x

So,

10 students =. ₹9,500

1 student = x

" Now perform cross multiplication "

We get,

$\rightarrow{\tt{10x = 9,500 }}$

$\rightarrow{\tt{ x = \dfrac{9500}{10}}}$

$\red{\implies{\tt{ x = 950 }}}$

Hence,

Monthly expenditure on 1 student = x = ₹ 950

So,

He asked us to find

Monthly expenditure of a hostel for 15 students = ?

No. of students = 15

So,

Monthly expenditure of 15 students = Monthly expenditure for 1 student x No. of students

Hence,

Expenditure for 15 students = 950 x 15

Expenditure for 15 students = ₹ 14,250

Therefore ,

$\small{\underline{\underline{\orange{\tt{Monthly\; expenditure\;of \;a \;hotel \;for\;15\; students = Rs. 14,250 }}}}}$

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