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

Given the range is 30000

Lets say the highest salary is X
Lowest salary Y

X - Y = 30000

The salaries increase 10%

New salaries are X+10/100 (I.E 1.1X) and Y + 10/100(1.1Y)

We need to find 1.1X - 1.1Y
= 1.1 (X-Y)
= 1.1 * 30000
= 33,000

OA please?

boy ! it was some straight forward pluggin Problem
!

range=highest-lowest
30000=40000-10000
now 10% increase
44000-11000=33000

ans=33000

vishu

x1-x2=30,000 (assume x1 as highest and x2 as lowest)

after 10% rise in salary they would be 1.10x1 and 1.10x2
=>1.10(x1-x2)=1.10*30,000=33,000.


Amit