Question
Download Solution PDFA college has raised 75% of the amount it needs. for a new building by receiving an average donation of ₹ 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 would be the average donation from the remaining people to be solicited?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The college has raised 75% of the total amount needed by receiving an average donation of ₹600 from 60% of the people who will be solicited.
Let the total number of people to be solicited be P, and the total amount required be A.
Formula used:
The amount raised so far = 75% of A = 0.75A.
The number of people already solicited = 60% of P = 0.60P.
The average donation from these people = ₹600.
Therefore, the total amount raised so far is:
Total amount raised so far = 0.60P × 600 = 0.75A.
Calculation:
⇒ 0.60P × 600 = 0.75A
⇒ 360P = 0.75A
⇒ A = (360P ÷ 0.75) = 480P
Now, the amount needed from the remaining 40% of people = A - 0.75A = 0.25A = 0.25 × 480P = 120P.
The remaining 40% of people = 0.40P.
The average donation required from the remaining people = (Amount to be raised) ÷ (Remaining people) = 120P ÷ 0.40P = ₹300.
∴ The average donation from the remaining people must be ₹300.
Last updated on Jul 4, 2025
-> UP Police Constable 2025 Notification will be released for 19220 vacancies by July End 2025.
-> Check UPSC Prelims Result 2025, UPSC IFS Result 2025, UPSC Prelims Cutoff 2025, UPSC Prelims Result 2025 Name Wise & Rollno. Wise
-> UPPRPB Constable application window is expected to open in July 2025.
-> UP Constable selection is based on Written Examination, Document Verification, Physical Measurements Test, and Physical Efficiency Test.
-> Candidates can attend the UP Police Constable and can check the UP Police Constable Previous Year Papers. Also, check UP Police Constable Exam Analysis.