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There were 35 students in a hostel. If the number of students increases by 7, the expenses of mess increase by Rs. 42 per day while the average expenditure per head diminishes by 1. Find the original expenditure of the mess. 
  • a)
    Rs. 320 
  • b)
    Rs. 420 
  • c)
    Rs. 160 
  • d)
    Rs. 158 
Correct answer is option 'B'. Can you explain this answer?
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There were 35 students in a hostel. If the number of students increase...
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There were 35 students in a hostel. If the number of students increase...
Given:
Number of students in hostel (initially) = 35
Increase in number of students = 7
Increase in expenses of mess = Rs. 42
Reduction in average expenditure per head = Rs. 1

To find:
Original expenditure of mess

Solution:
Let the original expenditure of the mess be Rs. x.
Then, the average expenditure per head initially = x/35

After the increase in number of students by 7, the new number of students = 35 + 7 = 42
The new average expenditure per head = (x + 42)/42

Given, the reduction in average expenditure per head = Rs. 1
So, we have the equation:

(x/35) - ((x + 42)/42) = 1

Solving this equation, we get:

x = Rs. 420

Therefore, the original expenditure of the mess was Rs. 420.

Answer: Option B - Rs. 420.
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There were 35 students in a hostel. If the number of students increases by 7, the expenses of mess increase by Rs. 42 per day while the average expenditure per head diminishes by1. Find the original expenditure of the mess.a)Rs. 320b)Rs. 420c)Rs. 160d)Rs. 158Correct answer is option 'B'. Can you explain this answer?
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There were 35 students in a hostel. If the number of students increases by 7, the expenses of mess increase by Rs. 42 per day while the average expenditure per head diminishes by1. Find the original expenditure of the mess.a)Rs. 320b)Rs. 420c)Rs. 160d)Rs. 158Correct answer is option 'B'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about There were 35 students in a hostel. If the number of students increases by 7, the expenses of mess increase by Rs. 42 per day while the average expenditure per head diminishes by1. Find the original expenditure of the mess.a)Rs. 320b)Rs. 420c)Rs. 160d)Rs. 158Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There were 35 students in a hostel. If the number of students increases by 7, the expenses of mess increase by Rs. 42 per day while the average expenditure per head diminishes by1. Find the original expenditure of the mess.a)Rs. 320b)Rs. 420c)Rs. 160d)Rs. 158Correct answer is option 'B'. Can you explain this answer?.
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