BTGmoderatorLU wrote:**Source: GMAT Prep**

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

A

quick solution is to assign some values to the highest paid and lowest paid workers

Let $10,000 = the lowest salary LAST YEAR

Let $40,000 = the highest salary LAST YEAR

This satisfies the condition that the range LAST YEAR = $30,000

*If the annual salary of each of the 100 employees this year is 10 percent greater than it was last year, . . . *
(1.1)($10,000) =$11,000, so the lowest salary is NOW

$11,000
(1.1)($40,000) =$44,000, so the lowest salary is NOW

$44,000
*. . . what is the range of the annual salaries of the 100 employees this year?*
Range =

$44,000 -

$11,000 =

**$33,000**
Answer: C

A

faster solution is to recognize that if EACH PERSON gets a 10% increase, then the range will increase by 10%

So, the $30,000 range increases by 10% to $33,000

Cheers,

Brent