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In a company, 60 percent of the male employees and 70 percent of the

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In a company, 60 percent of the male employees and 70 percent of the  [#permalink]

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New post 24 Sep 2018, 00:39
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In a company, 60 percent of the male employees and 70 percent of the female employees eat only veg food. If 66 percent of all the employees eat only veg food, what is the ratio of females employees to male employees?


(A) 3/10

(B) 3/2

(C) 3/4

(D) 5/6

(E) 6/7

_________________

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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: In a company, 60 percent of the male employees and 70 percent of the  [#permalink]

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New post 24 Sep 2018, 00:51
1
Bunuel wrote:
In a company, 60 percent of the male employees and 70 percent of the female employees eat only veg food. If 66 percent of all the employees eat only veg food, what is the ratio of females employees to male employees?


(A) 3/10

(B) 2/3

(C) 3/4

(D) 5/6

(E) 6/7



Allegation Method :

66 - 60 = 6

70 - 66 = 4

Ratio = 4 : 6 = 2 : 3


The best answer is B.
Director
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Re: In a company, 60 percent of the male employees and 70 percent of the  [#permalink]

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New post 08 Nov 2018, 08:19
2
Bunuel wrote:
In a company, 60 percent of the male employees and 70 percent of the female employees eat only veg food. If 66 percent of all the employees eat only veg food, what is the ratio of females employees to male employees?


(A) 3/10

(B) 2/3

(C) 3/4

(D) 5/6

(E) 6/7


Dear Moderator,
There seems to be a small typo here.
Kindly check the OA for this one too, ratio of F:M= 3:2 not given in the OA
Ratio of M:F= 2:3.
We are asked F:M and NOT M:F

Hope you will look into this, Thank you.
_________________

- Stne

Math Expert
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Joined: 02 Sep 2009
Posts: 51262
Re: In a company, 60 percent of the male employees and 70 percent of the  [#permalink]

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New post 10 Nov 2018, 06:13
stne wrote:
Bunuel wrote:
In a company, 60 percent of the male employees and 70 percent of the female employees eat only veg food. If 66 percent of all the employees eat only veg food, what is the ratio of females employees to male employees?


(A) 3/10

(B) 2/3

(C) 3/4

(D) 5/6

(E) 6/7


Dear Moderator,
There seems to be a small typo here.
Kindly check the OA for this one too, ratio of F:M= 3:2 not given in the OA
Ratio of M:F= 2:3.
We are asked F:M and NOT M:F

Hope you will look into this, Thank you.

________________________
Edited the typo. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
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Joined: 30 Apr 2017
Posts: 3
In a company, 60 percent of the male employees and 70 percent of the  [#permalink]

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New post 14 Nov 2018, 00:21
selim wrote:
Bunuel wrote:
In a company, 60 percent of the male employees and 70 percent of the female employees eat only veg food. If 66 percent of all the employees eat only veg food, what is the ratio of females employees to male employees?


(A) 3/10

(B) 2/3

(C) 3/4

(D) 5/6

(E) 6/7



Allegation Method :

66 - 60 = 6

70 - 66 = 4

Ratio = 4 : 6 = 2 : 3


The best answer is B.


Bunuel stne can you explain how this was derived? I did not understand how the rule of allegation is applied here.
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In a company, 60 percent of the male employees and 70 percent of the  [#permalink]

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New post 14 Nov 2018, 01:57
Preethi88 wrote:
selim wrote:
Bunuel wrote:
In a company, 60 percent of the male employees and 70 percent of the female employees eat only veg food. If 66 percent of all the employees eat only veg food, what is the ratio of females employees to male employees?


(A) 3/10

(B) 2/3

(C) 3/4

(D) 5/6

(E) 6/7




Allegation Method :

66 - 60 = 6

70 - 66 = 4

Ratio = 4 : 6 = 2 : 3


The best answer is B.


Bunuel stne can you explain how this was derived? I did not understand how the rule of allegation is applied here.




Hi Preethi88,
Let there me M males and F females. So total employees M+F.

Now lets form an equation of those employees who eat veg food only.

Then we have the following equation
\(\frac{60}{100}M +\frac{70}{100}F = \frac{66}{100}(M + F)\)

On solving we get
.40 F =.60 M
4F=6M
\(\frac{F}{M}=\frac{3}{2}\)

Hope its clear now , please feel free to ask if anything is still unclear.
_________________

- Stne

GMAT Club Bot
In a company, 60 percent of the male employees and 70 percent of the &nbs [#permalink] 14 Nov 2018, 01:57
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