Exactly 12% of the reporters for a certain wire service cover local politics in Country X.

Exactly 12% of the reporters for a certain wire service cover local politics in Country X. If 40% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?

Answer/Solution

80%

Steps/Work

Let's assume there are 100 reporters --> 12 reporters cover local politics.
Now, as 40% of the reporters who cover all politics do not cover local politics then the rest 60% of the reporters who cover politics do cover local politics, so if there are x reporters who cover politics then 60% of them equal to 12 (# of reporters who cover local politics): 0.6x=12 --> x=20, hence 20 reporters cover politics and the rest 100-20=80 reporters do not cover politics at all.
Answer: D.

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Exactly % of the reporters for a certain wire service cover local politics in country x. If % of the reporters who cover politics for the wire service do not cover local politics in country x, what percent of the reporters for the wire service do not cover politics?

Calculated Answer

Step by Step Solution

In order to solve problem, you must evaluate (1 - n₀ / (100 - n₁)) * 100.

n₀ =	12
n₁ =	40

(1 - n₀ / (100 - n₁)) * 100
Evaluate 100 - n₁ = 60
(1 - n₀ / 60) * 100
Evaluate n₀ / 60 = 0.2
(1 - 0.2) * 100
Evaluate 1 - 0.2 = 0.8
0.8 * 100
Evaluate 0.8 * 100 = 80
80
The answer to the problem and the result of (1 - n₀ / (100 - n₁)) * 100 is 80

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