Sangeeta2018 wrote:

In a town there are 60% married Males, 40% married Females. What is the % married?

A. 20%

B. 30%

C. 40%

D. 48%

E. 50%

Source

Experts' Global.

This question is a bit sneaky. You cannot use 100 as the number of both men and women.

When two populations should sum to 100, but each has a different percentage of the same "property" (being married), that is a clue: you can use 100 as a base, with a percent, for only one of the two populations.

Assign a number to men. 60 percent are married = a number. That is also the number of married women. Then find total number of women (using 40%). There are NOT 100 women total.

Assuming all men are married to women and vice versa:

1) What

number of married men AND women?

Let there be 100 men

60 percent of men are married (to women) =

60 married men AND

60 married women

2) Total population?

100 men

Total number of women?

60 married women = 40% of all women, W

60 = .40W

\(\frac{60}{.4}=\) W

W = 150

Total: (100 + 150) = 250

Married: (60 + 60) = 120

3) Percent married?

\(\frac{120}{250} * 100 = (.48 * 100) =\) 48 percent

Answer D

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