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Re: Mr. Kramer, the losing candidate in a two-candidate [#permalink]
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Curly05 wrote:
Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 40 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?

A. 10%
B. 12%
C. 15%
D. 17%
E. 20%


Let me point out here that a 6 digit number as insane as this, is a giveaway that it doesn't need to be used. Among the larger numbers, it's a good idea to be familiar with the exponents of primes such as 1024, 729, 4096, 3125 etc and of course our special number 1001. But a number as huge and as random as 942,568 is too tedious.
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Re: Mr. Kramer, the losing candidate in a two-candidate [#permalink]
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Curly05 wrote:
Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 40 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?

A. 10%
B. 12%
C. 15%
D. 17%
E. 20%


Let total votes won by Kramer be --> z (given = 942,568)
Let all votes cast be --> t

Given: z = 0.4t
Find: What % of remaining votes are needed to make Kramer's total go up from 40% to 50%?

Let votes required by k% of remaining.
Remaining = t - 0.4t = 0.6t
We also know that Kramer only needs 10% of the total more (already had 40% of total)
So,
0.6t * k/100 = 0.1t
t gets cancelled -->
k = 0.1 * 100 / 0.6 = 16.6667
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Re: Mr. Kramer, the losing candidate in a two-candidate [#permalink]
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Re: Mr. Kramer, the losing candidate in a two-candidate [#permalink]
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