Ratios

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Ratios

by rahul.s » Fri Jan 22, 2010 6:52 am
If all of the employees of Company K who worked there last January are still there, how many employees does Company K have now?

1) Last January the ratio of the number of male employees to the number of female employees was 2 to 3.
2) Since last January, Company K has employed 400 new male employees and no new female employees, raising the ratio of the number of male employees to the number of female employees to 3 to 4.
Source: — Data Sufficiency |

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by ajith » Fri Jan 22, 2010 7:02 am
rahul.s wrote:If all of the employees of Company K who worked there last January are still there, how many employees does Company K have now?

1) Last January the ratio of the number of male employees to the number of female employees was 2 to 3.
2) Since last January, Company K has employed 400 new male employees and no new female employees, raising the ratio of the number of male employees to the number of female employees to 3 to 4.
say the company had f number of females and m number males

1) gives m/f =2/3
2) (m+400)/f = 3/4

1 or 2 alone is not sufficient

1 and 2 together will be sufficient since it is 2 equations and 2 variables ( need not solve it)

2) implies m/f + 400/f = 3/4

400/f = 3/4-2/3
400/f = 1/12
f= 400*12 = 4800
m = 3200

the num of current employees 3600+4800 = 8400
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by rahul.s » Fri Jan 22, 2010 7:25 am
OA is C

2 different equations, 2 variables = solvable