SudiptoGmat wrote:

Recent estimates predict that between 1982 and 1995 the greatest increase in the number of people employed will be in the category of low-paying service occupations. This category, however, will not increase its share of total employment, whereas the category of high-paying service occupations will increase its share.

If the estimates above are accurate, which of the following conclusions can be drawn?

(A) In 1982 more people were working in low-paying service occupations than were working in high-paying service occupations.

(B) In 1995 more people will be working in high-paying service occupations than will be working in low-paying service occupations.

(C) Nonservice occupations will account for the same share of total employment in 1995 as in 1982.

(D) Many of the people who were working in low-paying service occupations in 1982 will be working in high-paying service occupations by 1995.

(E) The rate of growth for low-paying service occupations will be greater than the overall rate of employment growth between 1982 and 1995.

[b]Suppose LP-low paying job, HP-High paying Job

.....................1982.......... 1995

No. Of LP.......... x................3x (i took it 3x and other 2y because rate of growth of LP is higher than HP)

no. Of HP..........y.................2y

total...............x+y...........3x+2y

stem has given two conditions

1. x/(x+y) <= 3x/(3x+2y)

2. 2y/(3x+2y) > y/(x+y)

and these two conditions are satisfied only when B is true. so answer is B

try putting x=1,1 and y=6, 8