harish1986 wrote:
There was a fundraising effort for a party being organized by John. 60% of the participants contribute 80% of the funds. the average contribution of all the people who attended is \($50\). What is the average contribution of the remaining 40% of the people?
A. 50
B. 100
C. 400
D. 125
E. 25
Solution:
Since the average contribution of all the people was $50, the 60% of the people who contributed 80% of the funds must have contributed an average of more than $50 (since the percentage of funds was greater than the percentage of people), and therefore, the remaining 40% of the people must have contributed an average of less than $50. Since $25 is the only choice that is less than $50, choice E is the correct answer.
Alternate Solution:
Let’s assume that 10 people attended the fund-raiser. We see that the total amount of money collected was 10 x 50 = $500. Since 60% of the attendees donated 80% of the contributions, then 10 x 0.6 = 6 people contributed 500 x 0.8 = $400. This tells us that the remaining 4 people contributed $100. Thus, the average contribution of this group (the remaining 40% of attendees) was 100/4 = $25.
Answer: E