Sangeeta2018
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