There were 50 students in a hostel. if 10 more students join the hostel, then expenditure on food increases by rs 70. but average expenditure per student decreases by re.1. find the expenditure of the 50 students.
Answers
Given : There were 50 students in a hostel
10 more students join the hostel,
expenditure on food increases by rs 70
but average expenditure per student decreases by re.1
To Find : the expenditure of the 50 students.
Solution:
Let say the expenditure of the 50 students. = 100C
Average Expenditure = 100C/50 = 2C
average expenditure per student decreases by re.1
New Average expenditure = 2C - 1
Number of students = 50 + 10 = 60
New Total expenditure = 60(2C - 1)
= 120C - 60
New expenditure = 100C + 70
120C - 60 = 100C + 70
=> 20C = 130
=> 100C = 650
the expenditure of the 50 students. = 650
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Answer:
Final/Later Total Expenditure = 1344
Earlier Expenditure = 1260
Step-by-step explanation:
Assume earlier average expenditure was x
Earlier expenditure = 70x
Later expenditure = 84 * (x-2)
(expenditure average reduced by 2 so x-2 & students increased by 14 so 70+14=84)
increase in expenditure = 84 * (x-2) - 70x = 84
14x -168 = 84
x = 18
Final / Later Expenditure = 84 * ( 18-2) = 1344
Earlier expenditure = 70x = 70 * 18 = 1260