In Year X, 8.7 percent of the men in the labor force were unemployed in June compared with 8.4 percent in May. If the number of men in the labor force was the same for both months, how many men were unemployed in June of that year?
(1) In May of Year X, the number of unemployed men in the labor force was 3.36 million.
(2) In Year X, 120,000 more men in the labor force were unemployed in June than in May.Given that,
(a) Total Men in May = Total Men in June
(b) Unemployed Men in May = 8.4% of Total Men
(c) Unemployed Men in June = 8.7% of Total Men
To find: Unemployed men in June
Statement 1From (b) above,
Unemployed Men in May \(= 8.4%\) of Total Men
Or, \(Total Men\)\(*(0.084) = 3.36\) Million
Or, \(Total Men\) \(= \frac{3.36 Million}{0.084}\)
Substituting in (c) above, Unemployed Men in June\(= 8.7% of Total Men = 0.087* \frac{3.36 Million}{0.084} = 3.48 Million\)
Statement(1) alone is sufficient .........................
(B) (C) E)Statement 2Difference in Unemployed Men in June and May \(= 8.7%\) of Total Men\(- 8.4%\)of Total Men =\((0.087-0.084)*\)\(Total Men\)
Or, \(0.003* Total Men = 120000\)
Or, \(Total Men\) \(= \frac{120000}{0.003}\)
Substituting in (c) above, Unemployed Men in June\(= 8.7% of Total Men = (0.087)*(\frac{120000}{0.003}) =3.48 Million\)
Statement(2) alone is sufficient .........................
(A)Answer:
(D)