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A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?
- a)Rs.800
- b)Rs.900
- c)Rs.850
- d)Rs.300
- e)Rs.720
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A college has raised 75% of the amount it needs for a new building by ...
Let the total population be X.
Then amount received right now is = 0.6X � 600 = 360X.
This is 75% of the amount. Thus the total amount required is 480X. Hence,
remaining amount = 480X – 360X = 120X
∴Required contribution per head = 300.
Then amount received right now is = 0.6X � 600 = 360X.
This is 75% of the amount. Thus the total amount required is 480X. Hence,
remaining amount = 480X – 360X = 120X
∴Required contribution per head = 300.
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
A college has raised 75% of the amount it needs for a new building by ...
Given:
- The school has raised 75% of the amount it needs for a new building.
- The average donation from the parents of the students is Rs. 1200.
- The people already solicited represents the parents of 60% of the students.
To find:
- The average donation from the remaining students to be solicited to raise exactly the amount needed for the new building.
Solution:
Let's assume that there are 100 students in the school.
- The people already solicited represent the parents of 60% of the students, which means the number of parents solicited = 60/100 * 100 = 60.
- The average donation from these 60 parents is Rs. 1200, which means the total amount raised from them = 60 * 1200 = Rs. 72000.
Now, we know that the school has raised 75% of the amount it needs for the new building. Let's assume that the total amount needed for the new building is Rs. X.
- The amount raised already = 75/100 * X = 0.75X.
- The amount still needed = X - 0.75X = 0.25X.
We need to find the average donation from the remaining students to be solicited to raise the amount of 0.25X. Let's assume that there are Y students whose parents have not been solicited yet.
- The total number of students in the school = 100.
- The number of students whose parents have already been solicited = 60.
- The number of students whose parents have not been solicited = 100 - 60 = 40.
We need to find the average donation from the parents of these 40 students. Let's assume that the average donation from these parents is Rs. A.
- The total amount raised from the remaining 40 parents = 40 * A = 40A.
We know that the total amount still needed to be raised = 0.25X. So,
- 0.25X = 40A (since this is the total amount that can be raised from the remaining parents).
- A = 0.25X/40.
Therefore, the average donation from the remaining parents should be Rs. A = 0.25X/40.
Now, we need to find the value of X.
- The amount raised already = Rs. 72000.
- 75% of the amount needed = Rs. 72000.
- 0.75X = Rs. 72000.
- X = Rs. 96000.
Therefore,
- A = 0.25X/40 = 0.25*96000/40 = Rs. 600.
Hence, the correct option is (D) Rs. 600.
- The school has raised 75% of the amount it needs for a new building.
- The average donation from the parents of the students is Rs. 1200.
- The people already solicited represents the parents of 60% of the students.
To find:
- The average donation from the remaining students to be solicited to raise exactly the amount needed for the new building.
Solution:
Let's assume that there are 100 students in the school.
- The people already solicited represent the parents of 60% of the students, which means the number of parents solicited = 60/100 * 100 = 60.
- The average donation from these 60 parents is Rs. 1200, which means the total amount raised from them = 60 * 1200 = Rs. 72000.
Now, we know that the school has raised 75% of the amount it needs for the new building. Let's assume that the total amount needed for the new building is Rs. X.
- The amount raised already = 75/100 * X = 0.75X.
- The amount still needed = X - 0.75X = 0.25X.
We need to find the average donation from the remaining students to be solicited to raise the amount of 0.25X. Let's assume that there are Y students whose parents have not been solicited yet.
- The total number of students in the school = 100.
- The number of students whose parents have already been solicited = 60.
- The number of students whose parents have not been solicited = 100 - 60 = 40.
We need to find the average donation from the parents of these 40 students. Let's assume that the average donation from these parents is Rs. A.
- The total amount raised from the remaining 40 parents = 40 * A = 40A.
We know that the total amount still needed to be raised = 0.25X. So,
- 0.25X = 40A (since this is the total amount that can be raised from the remaining parents).
- A = 0.25X/40.
Therefore, the average donation from the remaining parents should be Rs. A = 0.25X/40.
Now, we need to find the value of X.
- The amount raised already = Rs. 72000.
- 75% of the amount needed = Rs. 72000.
- 0.75X = Rs. 72000.
- X = Rs. 96000.
Therefore,
- A = 0.25X/40 = 0.25*96000/40 = Rs. 600.
Hence, the correct option is (D) Rs. 600.
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A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?a)Rs.800b)Rs.900c)Rs.850d)Rs.300e)Rs.720Correct answer is option 'D'. Can you explain this answer?
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A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?a)Rs.800b)Rs.900c)Rs.850d)Rs.300e)Rs.720Correct answer is option 'D'. 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 A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?a)Rs.800b)Rs.900c)Rs.850d)Rs.300e)Rs.720Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?a)Rs.800b)Rs.900c)Rs.850d)Rs.300e)Rs.720Correct answer is option 'D'. Can you explain this answer?.
A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?a)Rs.800b)Rs.900c)Rs.850d)Rs.300e)Rs.720Correct answer is option 'D'. 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 A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?a)Rs.800b)Rs.900c)Rs.850d)Rs.300e)Rs.720Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?a)Rs.800b)Rs.900c)Rs.850d)Rs.300e)Rs.720Correct answer is option 'D'. Can you explain this answer?.
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