goutham v wrote:

Over the past year, the number of men in Pleasantville increased by 20% while the number of women in Pleasantville decreased by 20%. If the number of men and women in Pleasantville are now equal to each other, what was the percentage change in the total population of Pleasantville over the past year?

10% decrease

4% decrease

no change

4% increase

10% increase

Let's assign some nice values to the number of men and women

AFTER the increases and decreases occurred.

Let's say that

AFTER the increases and decreases occurred, there were

24 men and

24 women. So,

AFTER the increases and decreases occurred, the TOTAL population =

48Let M = number of men BEFORE the increase

Let W = number of women BEFORE the decrease

The number of men in Pleasantville increased by 20%So, 1.2M =

24So, M =

24/1.2 = 20

There were 20 men BEFORE the increase

The number of women decreased by 20%So, 0.8F =

24So, F =

24/0.8 = 30

There were 30 women BEFORE the decrease

TOTAL population BEFORE the increases and decreases = 20 + 30 =

50What was the percentage change in the total population of Pleasantville over the past year?The population

decreased from

50 to

48ELIMINATE C, D and E

Percent change = 100(new - old)/old

= (100)(

48 -

50)/

50= -4%

= B

Cheers,

Brent

_________________

Brent Hanneson – Founder of greenlighttestprep.com

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