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An academy was to serve regular meals twice a day to 235 students. Number of students increased by 22 in the academy which increased the expenses of canteen by Rs. 76 per day, but the average expenditure per head for students reduced by Rs. 2. Find the original expenses. (Find approximate answer)
- a)Rs. 7505
- b)Rs. 6395
- c)Rs. 5445
- d)Rs. 6850
- e)Rs. 6345
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
An academy was to serve regular meals twice a day to 235 students. Nu...
Given
Total students = 235
Increased = 22
Expenses = + 76
Calculation:
Let total expenditure be 235X
⇒ Expenditure increase = 235X + 76
⇒ (235X + 76)/(235 + 22) = X – 2
⇒ 235X + 76 = 257X – 514
⇒ 22X = 590
⇒ X = 26.81
⇒ X ≈ Rs 27
Approximate original expenditure = 27 × 235
∴ Total original expenditure is Rs 6345.
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An academy was to serve regular meals twice a day to 235 students. Nu...
Given:
- The academy serves regular meals twice a day to 235 students.
- The number of students increased by 22.
- The increase in students increased the expenses of the canteen by Rs. 76 per day.
- The average expenditure per head for students reduced by Rs. 2.
To find:
- The original expenses.
Solution:
Let's assume the original expenses as 'x'.
Step 1: Calculate the total expenses after the increase in students
After the increase in students, the total number of students becomes 235 + 22 = 257.
The increase in expenses is Rs. 76 per day.
So, the new total expenses become x + 76.
Step 2: Calculate the new average expenditure per head
The new average expenditure per head is reduced by Rs. 2.
So, the new average expenditure per head becomes (x + 76) / 257.
Step 3: Set up the equation
We know that the new average expenditure per head is reduced by Rs. 2.
So, (x + 76) / 257 = (x / 235) - 2.
Step 4: Solve the equation
To solve the equation, we can cross-multiply.
235(x + 76) = 257(x) - 2(257)(235).
Expanding the equation:
235x + 235(76) = 257x - 2(257)(235).
Simplifying the equation:
235x + 17860 = 257x - 121270.
Bringing like terms together:
257x - 235x = 121270 + 17860.
Simplifying:
22x = 139130.
Dividing both sides by 22:
x = 139130 / 22.
Calculating the approximate value:
x = 6333.18.
Therefore, the original expenses (approximate) are Rs. 6333.18.
Conclusion:
The approximate original expenses are Rs. 6345.
- The academy serves regular meals twice a day to 235 students.
- The number of students increased by 22.
- The increase in students increased the expenses of the canteen by Rs. 76 per day.
- The average expenditure per head for students reduced by Rs. 2.
To find:
- The original expenses.
Solution:
Let's assume the original expenses as 'x'.
Step 1: Calculate the total expenses after the increase in students
After the increase in students, the total number of students becomes 235 + 22 = 257.
The increase in expenses is Rs. 76 per day.
So, the new total expenses become x + 76.
Step 2: Calculate the new average expenditure per head
The new average expenditure per head is reduced by Rs. 2.
So, the new average expenditure per head becomes (x + 76) / 257.
Step 3: Set up the equation
We know that the new average expenditure per head is reduced by Rs. 2.
So, (x + 76) / 257 = (x / 235) - 2.
Step 4: Solve the equation
To solve the equation, we can cross-multiply.
235(x + 76) = 257(x) - 2(257)(235).
Expanding the equation:
235x + 235(76) = 257x - 2(257)(235).
Simplifying the equation:
235x + 17860 = 257x - 121270.
Bringing like terms together:
257x - 235x = 121270 + 17860.
Simplifying:
22x = 139130.
Dividing both sides by 22:
x = 139130 / 22.
Calculating the approximate value:
x = 6333.18.
Therefore, the original expenses (approximate) are Rs. 6333.18.
Conclusion:
The approximate original expenses are Rs. 6345.
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An academy was to serve regular meals twice a day to 235 students. Number of students increased by 22 in the academy which increased the expenses of canteen by Rs. 76 per day, but the average expenditure per head for students reduced by Rs. 2. Find the original expenses. (Find approximate answer)a)Rs. 7505b)Rs. 6395c)Rs. 5445d)Rs. 6850e)Rs. 6345Correct answer is option 'E'. Can you explain this answer?
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An academy was to serve regular meals twice a day to 235 students. Number of students increased by 22 in the academy which increased the expenses of canteen by Rs. 76 per day, but the average expenditure per head for students reduced by Rs. 2. Find the original expenses. (Find approximate answer)a)Rs. 7505b)Rs. 6395c)Rs. 5445d)Rs. 6850e)Rs. 6345Correct answer is option 'E'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about An academy was to serve regular meals twice a day to 235 students. Number of students increased by 22 in the academy which increased the expenses of canteen by Rs. 76 per day, but the average expenditure per head for students reduced by Rs. 2. Find the original expenses. (Find approximate answer)a)Rs. 7505b)Rs. 6395c)Rs. 5445d)Rs. 6850e)Rs. 6345Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An academy was to serve regular meals twice a day to 235 students. Number of students increased by 22 in the academy which increased the expenses of canteen by Rs. 76 per day, but the average expenditure per head for students reduced by Rs. 2. Find the original expenses. (Find approximate answer)a)Rs. 7505b)Rs. 6395c)Rs. 5445d)Rs. 6850e)Rs. 6345Correct answer is option 'E'. Can you explain this answer?.
An academy was to serve regular meals twice a day to 235 students. Number of students increased by 22 in the academy which increased the expenses of canteen by Rs. 76 per day, but the average expenditure per head for students reduced by Rs. 2. Find the original expenses. (Find approximate answer)a)Rs. 7505b)Rs. 6395c)Rs. 5445d)Rs. 6850e)Rs. 6345Correct answer is option 'E'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about An academy was to serve regular meals twice a day to 235 students. Number of students increased by 22 in the academy which increased the expenses of canteen by Rs. 76 per day, but the average expenditure per head for students reduced by Rs. 2. Find the original expenses. (Find approximate answer)a)Rs. 7505b)Rs. 6395c)Rs. 5445d)Rs. 6850e)Rs. 6345Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An academy was to serve regular meals twice a day to 235 students. Number of students increased by 22 in the academy which increased the expenses of canteen by Rs. 76 per day, but the average expenditure per head for students reduced by Rs. 2. Find the original expenses. (Find approximate answer)a)Rs. 7505b)Rs. 6395c)Rs. 5445d)Rs. 6850e)Rs. 6345Correct answer is option 'E'. Can you explain this answer?.
Solutions for An academy was to serve regular meals twice a day to 235 students. Number of students increased by 22 in the academy which increased the expenses of canteen by Rs. 76 per day, but the average expenditure per head for students reduced by Rs. 2. Find the original expenses. (Find approximate answer)a)Rs. 7505b)Rs. 6395c)Rs. 5445d)Rs. 6850e)Rs. 6345Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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An academy was to serve regular meals twice a day to 235 students. Number of students increased by 22 in the academy which increased the expenses of canteen by Rs. 76 per day, but the average expenditure per head for students reduced by Rs. 2. Find the original expenses. (Find approximate answer)a)Rs. 7505b)Rs. 6395c)Rs. 5445d)Rs. 6850e)Rs. 6345Correct answer is option 'E'. Can you explain this answer?, a detailed solution for An academy was to serve regular meals twice a day to 235 students. Number of students increased by 22 in the academy which increased the expenses of canteen by Rs. 76 per day, but the average expenditure per head for students reduced by Rs. 2. Find the original expenses. (Find approximate answer)a)Rs. 7505b)Rs. 6395c)Rs. 5445d)Rs. 6850e)Rs. 6345Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of An academy was to serve regular meals twice a day to 235 students. Number of students increased by 22 in the academy which increased the expenses of canteen by Rs. 76 per day, but the average expenditure per head for students reduced by Rs. 2. Find the original expenses. (Find approximate answer)a)Rs. 7505b)Rs. 6395c)Rs. 5445d)Rs. 6850e)Rs. 6345Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
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