umaa wrote:
Last year, all registered voters in Kumannia voted either for the Revolutionary Party or for the Status Quo Party. This year, the number of revolutionary voters increased 10%, while the number of Status Que voters increased 5%. No other votes were cast. If the number of total voters increased 8%, what fraction of voters voted Revolutionary this year?
A. 5/18
B. 7/18
C. 1/2
D. 5/9
E. 11/18
Responding to a pm:
Yes, you can solve it using weighted avgs.
w1/w2 = (5 - 8)/(8 - 10) = 3/2
Ratio of initial voters for Rev/Status = 3/2 (Note that since we are averaging increase, the weights will be the initial ratio of voters in the two camps)
So for 100 voters, 60 voted Rev and 40 voted Status.
Number of Rev increased this year by 10% so became 66.
Total number increased by 8% so became 108 this year.
Fraction of voters who voted Rev this year = 66/108 = 11/18
Answer (E)
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Karishma
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