OF THE 800 EMPLOYEES OF COMPANY X, 70 PERCENT

[Guest]

OF THE 800 EMPLOYEES OF COMPANY X, 70% HAVE BEEN WITH THE CO. FOR AT LEAST 10 YEARS. IF Y OF THESE LONG-TERM MEMBERS WERE TO RETIRE AND NO OTHER EMPLOYEE CHANGES WERE TO OCCUR , WHAT VALUE OF Y WOULD REDUCE THE PERCENT OF LONG-TERM EMPLOYEES IN THE CO. TO 60%?

THE ANSWER IS 200.

GMAT PREP-CD EXAM 2

IN ADDITION, TO SOLVING THE PROBLEM COULD PROVIDE AN EXPLANATION.
GREATLY APPRECIATED...

[SUCCESS]

70% OF 800 = 560

IF Y retire, we will have = 560 - y (Remaining members who have been with the firm for at least 10 years after Y people leave)

60% x (800 - Y) = 560- Y (60% of the remaining members after 'Y' number of people have retired).

480 - .6y = 560 - y

y-.6y=560-480

.4y=80

y= (move the decimals 800/4)=200.

Hope this helps.


Hope this helps.

[RonPurewal]

70% OF 800 = 560

IF Y retire, we will have = 560 - y (Remaining members who have been with the firm for at least 10 years after Y people leave)

60% x (800 - Y) = 560- Y (60% of the remaining members after 'Y' number of people have retired).

480 - .6y = 560 - y

y-.6y=560-480

.4y=80

y= (move the decimals 800/4)=200.

Hope this helps.


Hope this helps.

well played.

[agha79]

This was a tricky question. In most of such type of questions the word remaining is used like remaining employees, remaining pool etc. In this question it wasn’t mentioned to make the 60% of the remaining employees.
I assumed that the total employees will remain the same so the equation to calculate y became: 560-y=.60(800) that gave 80. Unfortunately the wrong answer :-(

[RonPurewal]

This was a tricky question. In most of such type of questions the word remaining is used like remaining employees, remaining pool etc. In this question it wasn’t mentioned to make the 60% of the remaining employees.
I assumed that the total employees will remain the same so the equation to calculate y became: 560-y=.60(800) that gave 80. Unfortunately the wrong answer :-(

the word "remaining" is unnecessary in this case, because retirement implies that those workers are not with the company anymore.

i.e., if people have retired, then "with the company" now automatically refers only to those workers who haven't retired.