sandy wrote:
In a certain town, \(\frac{2}{5}\) of the total population is employed. Among the unemployed population, the ratio of males to females is 5 : 7. If there are 40,000 employed people in the town, how many females are unemployed?
(A) 16,000
(B) 25,000
(C) 35,000
(D) 65,000
(E) 75,000
Let the total population be n.
Given , \(\frac{2}{5}\) of the total population is employed
Or, \(\frac{40000}{n}\)=\(\frac{2}{5}\)
Or, n=100000
#Unemployed people = 100000-40000 = 60000
#female who are unemployed= 60000 *(\(\frac{7}{7+5}\))= 60000 * \(\frac{7}{12}\) = 35000
Answer: C