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In a certain country, 80 percent of the population is literate, and 40 percent of the population is both literate and

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In a certain country, 80 percent of the population is literate, and 40 percent of the population is both literate and

by Gmat_mission » Sun Jun 14, 2020 2:04 pm

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In a certain country, 80 percent of the population is literate, and 40 percent of the population is both literate and male. What percent of the literate people in the country are female?

(A) 20%
(B) 32%
(C) 50%
(D) 68%
(E) 80%

[spoiler]OA=C[/spoiler]

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Re: In a certain country, 80 percent of the population is literate, and 40 percent of the population is both literate an

by Scott@TargetTestPrep » Tue Jun 23, 2020 8:19 am
Gmat_mission wrote: ↑
Sun Jun 14, 2020 2:04 pm
 In a certain country, 80 percent of the population is literate, and 40 percent of the population is both literate and male. What percent of the literate people in the country are female?

(A) 20%
(B) 32%
(C) 50%
(D) 68%
(E) 80%

[spoiler]OA=C[/spoiler]

Solution:

We can let the population = 100. Therefore, 80 people are literate and 40 people are both literate and male. That means 80 - 40 = 40 people are literate and female. Therefore, 40/80 = 1/2 = 50% of the literate people in the country are female.

Answer: C

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