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 There are 459 students in a hostel. If the number of students increased by 36, the expenses of the mess increased by Rs .81 Per day while the average expenditure per head reduced by 1. Find the original expenditure of the mess?
  • a)
    7304
  • b)
    7314
  • c)
    7324
  • d)
    7334
  • e)
    7344
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
There are 459 students in a hostel. If the number of students increase...
Answer – 5. 7344 Explanation: Total expenditure = 459x 36 students joined then total expenditure = 459x+81 average = 459x+81/495 = x-1 x = 16 original expenditure = 16*459 = 7344
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There are 459 students in a hostel. If the number of students increase...
Let's solve the problem step by step:

Let the original average expenditure per student per day be x.
So, the original total expenditure per day = x * 459

Given that the number of students increased by 36, the new total number of students = 459 + 36 = 495

Also, given that the expenses of the mess increased by Rs. 81 per day and the average expenditure per head reduced by 1, we can form the following equation:

(x - 1) * 495 = x * 459 + 81

Simplifying the equation:

495x - 495 = 459x + 81

495x - 459x = 81 + 495

36x = 576

x = 576/36

x = 16

Therefore, the original expenditure of the mess = x * 459 = 16 * 459 = 7344

Hence, the correct answer is option E) 7344.
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There are 459 students in a hostel. If the number of students increased by 36, the expenses of the mess increased by Rs .81 Per day while the average expenditure per head reduced by 1. Find the original expenditure of the mess?a)7304b)7314c)7324d)7334e)7344Correct answer is option 'E'. Can you explain this answer?
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