Question
There were 35 students in a hostel. If the number of students increase by 7, the expenses of the mess increase by Rs 42 per day while the average expenditure per head diminishes by Rs 1. Find the original expenditure of the mess?
Answer: Option B
- Suppose the average expenditure was Rs a.
Then total expenditure = 35a
When 7 more students join the mess, total expenditure = 35a + 42
Now, the average expenditure= (35a+42) / (35 + 7)
Now, we have (35a + 42)/ 42 =(a - 1)
or, 35a + 42 = 42a – 42
7a = 84
a = 12
Thus the original expenditure of the mess = 35 x 12 = 420
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- Suppose the average expenditure was Rs a.
Then total expenditure = 35a
When 7 more students join the mess, total expenditure = 35a + 42
Now, the average expenditure= (35a+42) / (35 + 7)
Now, we have (35a + 42)/ 42 =(a - 1)
or, 35a + 42 = 42a – 42
7a = 84
a = 12
Thus the original expenditure of the mess = 35 x 12 = 420
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