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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## 50% of the factory workers ##### This topic has 1 expert reply and 1 member reply ### Top Member ## 50% of the factory workers 50% of the factory workers are not older than 30 years old. What percent of the factory workers are younger than 40 years old? 1. 30% of the factory workers are older than 30 but younger than 40 years old 2. 20% of the factory workers are at least 40 years old How will i find the correct statement in this? OA D ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 Top Reply lheiannie07 wrote: 50% of the factory workers are not older than 30 years old. What percent of the factory workers are younger than 40 years old? 1. 30% of the factory workers are older than 30 but younger than 40 years old 2. 20% of the factory workers are at least 40 years old How will i find the correct statement in this? OA D Think of the workers as divided into three age groups: - Those 30 or younger - Those between 30 and 40 - Those 40 or older If we want the percent 40 or younger, then we want the sum of the first two groups. Statement 1. Now we know: - Those 30 or younger: 50% - Those between 30 and 40: 30% Clearly we can find the sum: 50+ 30 = 80% Sufficient. Statement 2: Now we know - Those 40 or older: 20% Well, everyone else would be under 40. 100% - 20% = 80%. Sufficient. The answer is D _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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DavidG@VeritasPrep wrote:
lheiannie07 wrote:
50% of the factory workers are not older than 30 years old. What percent of the factory workers are younger than 40 years old?

1. 30% of the factory workers are older than 30 but younger than 40 years old
2. 20% of the factory workers are at least 40 years old

How will i find the correct statement in this?

OA D
Think of the workers as divided into three age groups:

- Those 30 or younger
- Those between 30 and 40
- Those 40 or older

If we want the percent 40 or younger, then we want the sum of the first two groups.

Statement 1. Now we know:
- Those 30 or younger: 50%
- Those between 30 and 40: 30%
Clearly we can find the sum: 50+ 30 = 80% Sufficient.

Statement 2: Now we know
- Those 40 or older: 20%
Well, everyone else would be under 40. 100% - 20% = 80%. Sufficient.

Thanks a lot!

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