Ahmed MS wrote:Q: Are at least 10% of people 65 and older employed?
a. 11.3% of population is 65 or over
b. Of those 65 and older, 20% of mean and 10% of women are employed.
The answer is B. Can someone explain how!
Cheers!
Solution:
Let the total population be 'P'.
Let us first consider statement (1) alone.
This means that (11.3% * P) is 65 years or older.
But nothing has been mentioned about the number of people who are employed.
Hence, statement (1) alone is not sufficient to answer the question.
Next, consider statement (2) alone.
Let the total number of persons who are 65 years or older be 'n' and the number of men from among these 'n' be 'x'.
That means that total number of employed persons from among those who are 65 years or older is (20%*x) + 10%*(n - x) = 10%*(n+x).
The question is asking whether 10%*(n+x) >= (10%*n), which is always true since 'x' is positive.
Hence, answer to the main question is 'yes'.
Or statement (2) alone is sufficient to answer the question.
The correct answer is (B).