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There were 46 students in a Boys hostel. Due to the admission of eight new students the expenses of the hostel mess were increased by Rs.42 per day while the average expenditure per head diminished by Rs 1. What was the original expenditure of the hostel mess?
  • a)
    Rs.562
  • b)
    Rs.542
  • c)
    Rs.532
  • d)
    Rs.452
  • e)
    Rs.552
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
There were 46 students in a Boys hostel. Due to the admission of eight...
Answer – E. Rs.552 Explanation: 54*(x−1)−46*x = 42 8x = 96 x = 12 Original total expenditure: 46*x = 46*12 = Rs.552
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There were 46 students in a Boys hostel. Due to the admission of eight...
Given information:
- There were 46 students in the Boys hostel.
- Due to the admission of 8 new students, the expenses of the hostel mess increased by Rs. 42 per day.
- The average expenditure per head diminished by Rs. 1.

To find: The original expenditure of the hostel mess.

Let the original expenditure of the hostel mess be Rs. x per day.

Calculation:
- Before the admission of 8 new students, the average expenditure per head = x/46.
- After the admission of 8 new students, the average expenditure per head = (x+42)/54.
- According to the question, the average expenditure per head diminished by Rs. 1. So we can write:
(x+42)/54 = (x/46)-1
- Solving the above equation, we get x = 552.

Therefore, the original expenditure of the hostel mess was Rs. 552 per day.

Hence, the correct answer is option E.
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There were 46 students in a Boys hostel. Due to the admission of eight new students the expenses of the hostel mess were increased by Rs.42 per day while the average expenditure per head diminished by Rs 1. What was the original expenditure of the hostel mess?a)Rs.562b)Rs.542c)Rs.532d)Rs.452e)Rs.552Correct answer is option 'E'. Can you explain this answer?
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There were 46 students in a Boys hostel. Due to the admission of eight new students the expenses of the hostel mess were increased by Rs.42 per day while the average expenditure per head diminished by Rs 1. What was the original expenditure of the hostel mess?a)Rs.562b)Rs.542c)Rs.532d)Rs.452e)Rs.552Correct answer is option 'E'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about There were 46 students in a Boys hostel. Due to the admission of eight new students the expenses of the hostel mess were increased by Rs.42 per day while the average expenditure per head diminished by Rs 1. What was the original expenditure of the hostel mess?a)Rs.562b)Rs.542c)Rs.532d)Rs.452e)Rs.552Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There were 46 students in a Boys hostel. Due to the admission of eight new students the expenses of the hostel mess were increased by Rs.42 per day while the average expenditure per head diminished by Rs 1. What was the original expenditure of the hostel mess?a)Rs.562b)Rs.542c)Rs.532d)Rs.452e)Rs.552Correct answer is option 'E'. Can you explain this answer?.
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