Quant Exam  >  Quant Questions  >  There were 42 students in a hostel. Due to th... Start Learning for Free
There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?
  • a)
    Rs. 630
  • b)
    Rs. 580
  • c)
    Rs. 620
  • d)
    Rs. 640
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
There were 42 students in a hostel. Due to the admission of 13 new stu...
Let expenditure per head per day originaly was x and new expenditure per head is Rs y
View all questions of this test
Most Upvoted Answer
There were 42 students in a hostel. Due to the admission of 13 new stu...
Let's assume the original expenditure of the mess was Rs. X per day.

Before the admission of new students:
- Number of students = 42
- Average expenditure per head = X/42

After the admission of new students:
- Number of students = 42 + 13 = 55
- Average expenditure per head = (X + 30)/55

According to the given information, the average expenditure per head diminished by Rs. 3. So we can write the equation as:

(X/42) - (X + 30)/55 = 3

To solve this equation, we need to find the value of X.

Simplifying the equation:

[(55X - 42X - 1260)/42*55] = 3

[13X - 1260]/2310 = 3

Multiplying both sides by 2310:

13X - 1260 = 6930

13X = 6930 + 1260

13X = 8190

X = 8190/13

X = 630

Therefore, the original expenditure of the mess was Rs. 630 per day. Hence, option A is the correct answer.
Explore Courses for Quant exam
There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?a)Rs. 630b)Rs. 580c)Rs. 620d)Rs. 640e)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?a)Rs. 630b)Rs. 580c)Rs. 620d)Rs. 640e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?a)Rs. 630b)Rs. 580c)Rs. 620d)Rs. 640e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?a)Rs. 630b)Rs. 580c)Rs. 620d)Rs. 640e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?a)Rs. 630b)Rs. 580c)Rs. 620d)Rs. 640e)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?a)Rs. 630b)Rs. 580c)Rs. 620d)Rs. 640e)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?a)Rs. 630b)Rs. 580c)Rs. 620d)Rs. 640e)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?a)Rs. 630b)Rs. 580c)Rs. 620d)Rs. 640e)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?a)Rs. 630b)Rs. 580c)Rs. 620d)Rs. 640e)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?a)Rs. 630b)Rs. 580c)Rs. 620d)Rs. 640e)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
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