UPSC Exam  >  UPSC Questions  >  There are 40 students in a hostel. If the num... Start Learning for Free
There are 40 students in a hostel. If the
number of students decreases by 10, then the
expenses of the mess decreased by Rs. 60 per day
while the average expenditure per head increases
by rs. 1. Find the original expenditure of the
mess.?
Most Upvoted Answer
There are 40 students in a hostel. If the number of students decreases...
Given Information:
- Number of students in the hostel = 40
- Decrease in number of students = 10
- Decrease in mess expenses = Rs. 60 per day
- Increase in average expenditure per head = Rs. 1

Calculating Original Expenditure of the Mess:

Step 1: Calculate the original total expenditure
- Let the original total expenditure be x
- Let the original average expenditure per head be y
- Total expenditure = Number of students * Average expenditure per head
- Therefore, x = 40y

Step 2: Calculate new total expenditure
- New number of students = 40 - 10 = 30
- New average expenditure per head = Original average expenditure per head + Rs. 1 = y + 1
- New total expenditure = New number of students * New average expenditure per head

Step 3: Calculate the decrease in total expenditure
- Decrease in total expenditure = Original total expenditure - New total expenditure
- Decrease in total expenditure = 40y - 30(y + 1)
- Decrease in total expenditure = 40y - 30y - 30
- Decrease in total expenditure = 10y - 30

Step 4: Calculate the decrease in mess expenses
- Decrease in mess expenses = Rs. 60 per day
- Decrease in mess expenses = 10y - 30 = Rs. 60
- 10y = 90
- y = 9

Step 5: Calculate the original total expenditure
- Original total expenditure = 40y
- Original total expenditure = 40 * 9
- Original total expenditure = Rs. 360
Therefore, the original expenditure of the mess was Rs. 360.
Explore Courses for UPSC exam

Top Courses for UPSC

There are 40 students in a hostel. If the number of students decreases by 10, then the expenses of the mess decreased by Rs. 60 per day while the average expenditure per head increases by rs. 1. Find the original expenditure of the mess.?
Question Description
There are 40 students in a hostel. If the number of students decreases by 10, then the expenses of the mess decreased by Rs. 60 per day while the average expenditure per head increases by rs. 1. Find the original expenditure of the mess.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There are 40 students in a hostel. If the number of students decreases by 10, then the expenses of the mess decreased by Rs. 60 per day while the average expenditure per head increases by rs. 1. Find the original expenditure of the mess.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 40 students in a hostel. If the number of students decreases by 10, then the expenses of the mess decreased by Rs. 60 per day while the average expenditure per head increases by rs. 1. Find the original expenditure of the mess.?.
Solutions for There are 40 students in a hostel. If the number of students decreases by 10, then the expenses of the mess decreased by Rs. 60 per day while the average expenditure per head increases by rs. 1. Find the original expenditure of the mess.? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of There are 40 students in a hostel. If the number of students decreases by 10, then the expenses of the mess decreased by Rs. 60 per day while the average expenditure per head increases by rs. 1. Find the original expenditure of the mess.? defined & explained in the simplest way possible. Besides giving the explanation of There are 40 students in a hostel. If the number of students decreases by 10, then the expenses of the mess decreased by Rs. 60 per day while the average expenditure per head increases by rs. 1. Find the original expenditure of the mess.?, a detailed solution for There are 40 students in a hostel. If the number of students decreases by 10, then the expenses of the mess decreased by Rs. 60 per day while the average expenditure per head increases by rs. 1. Find the original expenditure of the mess.? has been provided alongside types of There are 40 students in a hostel. If the number of students decreases by 10, then the expenses of the mess decreased by Rs. 60 per day while the average expenditure per head increases by rs. 1. Find the original expenditure of the mess.? theory, EduRev gives you an ample number of questions to practice There are 40 students in a hostel. If the number of students decreases by 10, then the expenses of the mess decreased by Rs. 60 per day while the average expenditure per head increases by rs. 1. Find the original expenditure of the mess.? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev