There are 1200 student in a hostel If the number of the students is increased by 1300 then the expen...........

Quantitative Aptitude (MTS) Average

There are 1200 student in a hostel. If the number of the students is increased by 1300,then the expenses of the mess increase

by Rs 5,000 per day, while the average expenditure per head diminishes by Rs 5. The original expenditure of the mess,per day,is:

This questions was previously asked in

SSC MTS 11th October 2021 Shift-3

View All SSCMTS Previous Year Papers

Rs52,00

Rs45,00

Rs50,000

Rs55,000

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Explanation:

Solution

Number of students = 1200
Formula used
Average = sum of all observation/Number of observation
Calculation
Number of students increased = 1200 + 300
⇒ 1500
Expenses increased = x + 5000
original expenditure = x
average expenditure = x/1200
Increased expenditure = (x + 5000)
Average expenditure = (x + 5000)/1500 According to question
(x + 5000)/1500 = (x/1200) - 5 ⇒ 5 = (x/1200) - (x + 5000)/1500
⇒ 5 = [5x - (4x-20000)]/6000
=5(x-20000)/6000
⇒ 30,000 = x - 20000
⇒ 50000 = x
:: The original expenditure of the mess, per day, is Rs. 50,000.