There were 35 students in a hostel If the number of students increase by 7 the expenses of the mess ...........

Quantitative Aptitude ( CCS) Average

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?

450

420

430

400

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Explanation:

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 => total expenditure = 35*12 = 420