CAT 2001 — QA Question 13
PercentageEasy
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?
Answer & solution
Rs. 300
- B
Rs. 250
- C
Rs. 400
- D
Rs. 500
Solution
Let the total population be p.
Then the amount already received = 0.6p × 600 = 360p
This is 75% (3/4th) of the amount.
∴ Remaining amount (25%) = (360p)/3 = 120p = 120p
∴ Required contribution per head = (120p)/(0.4p) = Rs. 300
Hence, option (a).