Problem Solving

Last year the range of the annual salaries of the 100 employees at Company X was $30,000. If the annual salary of each of the 100 employees this year is 10 percent greater than it was last year, what is the range of the annual salaries of the 100 employees this year?

(A) $27,000
(B) $30,000
(C) $33,000
(D) $36,000
(E) $63,000

OA C

range will also increase by 10%
hence answer shld be C

jainrahul1985 wrote:Last year the range of the annual salaries of the 100 employees at Company X was $30,000. If the annual salary of each of the 100 employees this year is 10 percent greater than it was last year, what is the range of the annual salaries of the 100 employees this year?

(A) $27,000
(B) $30,000
(C) $33,000
(D) $36,000
(E) $63,000

OA C

Let's say that the lowest-paid employee at Company X made $20,000 last year, and the highest-paid made $50,000 last year; that fulfills the range of $30,000. If every employee makes 10% more this year, the lowest-paid will make $22,000, and the highest-paid will make $55,000. $55,000 - $22,000 = $33,000, giving us a range of $33,000. This works with any set of numbers; you can do the same thing if the lowest-paid made $50,000 and the highest-paid made $80,000: $88,000 - $55,000 = $33,000. C is the correct answer.

H-L=30,000

10% increase means 1.1x

1.1H-1.1L=33,000

jainrahul1985 wrote:Last year the range of the annual salaries of the 100 employees at Company X was $30,000. If the annual salary of each of the 100 employees this year is 10 percent greater than it was last year, what is the range of the annual salaries of the 100 employees this year?

(A) $27,000
(B) $30,000
(C) $33,000
(D) $36,000
(E) $63,000

OA C

30,000 was range last year
no of emplyee remain same so 10 % increase will add 10 5 to the old salary=30000+10 % of 30000=33000