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

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Bunuel
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In a company, 60 percent of the male employees and 70 percent of the [#permalink] New post   24 Sep 2018, 01:39
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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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B
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Re: In a company, 60 percent of the male employees and 70 percent of the [#permalink] New post   24 Sep 2018, 01:51
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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.
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Re: In a company, 60 percent of the male employees and 70 percent of the [#permalink] New post   08 Nov 2018, 09:19
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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.
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Re: In a company, 60 percent of the male employees and 70 percent of the [#permalink] New post   10 Nov 2018, 07:13
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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.
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Preethi88
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In a company, 60 percent of the male employees and 70 percent of the [#permalink] New post   14 Nov 2018, 01:21
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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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stne
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In a company, 60 percent of the male employees and 70 percent of the [#permalink] New post   14 Nov 2018, 02:57
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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.
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Re: In a company, 60 percent of the male employees and 70 percent of the [#permalink] New post   02 Aug 2020, 22:18
let the number of boys be x and girls be y. So 70x/100+60y/100= 66x +66y/100
60x+70y=66x+66y
-66y+70y=66x-60x
4y=6x
the ratio is 3 is to 2
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Re: In a company, 60 percent of the male employees and 70 percent of the [#permalink] New post   26 Feb 2021, 15:06
Thank you for the explanations with the shortest method to solve this.
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In a company, 60 percent of the male employees and 70 percent of the [#permalink] New post   28 Feb 2021, 07:16
Expert Reply
Given
    • 60 percent of the male employees eat only veg food.
    • 70 percent of the female employees eat only veg food

To find

    • Ratio of female employees to male employees in the company if 66 percent of all the employees eat only veg food.

Approach

Let the number of male employees be x and the number of female employees be y.
    • Therefore, 0.6 × Total male employees + 0.7 × Total Female employees = 0.66 × Total employees in the company.
      • 0.6 × x + 0.7 × y = 0.66 × (x + y)
      • 0.04y = 0.06x
      • 4y = 6x
      • y : x = 3:2

Hence, the correct answer is option B.
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In a company, 60 percent of the male employees and 70 percent of the [#permalink]
28 Feb 2021, 07:16
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