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# Of the 800 employees in a certain company, 70% have serviced

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Of the 800 employees in a certain company, 70% have serviced [#permalink]

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04 Feb 2012, 13:24
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Of the 800 employees in a certain company, 70% have serviced more than 10 years. A number of y of those who have serviced more than 10 years will retire and no fresh employees join in. When is y if the 10 years employees become 60% of the total employees?

[Reveal] Spoiler:

Last edited by Bunuel on 04 Feb 2012, 13:29, edited 1 time in total.
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04 Feb 2012, 13:28
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arps wrote:
Of the 800 employees in a certain company, 70% have serviced more than 10 years. A number of y of those who have serviced more than 10 years will retire and no fresh employees join in. When is y if the 10 years employees become 60% of the total employees?

Ans 200

Step by step:

$$0.7*800=560$$ employees have serviced more than 10 years;

We are told that after $$y$$ of those employees leave the company the # of employees who have serviced more than 10 years ($$560-y$$) become 60% of a new total, which will be $$800-y$$, so: $$0.6*(800-y)=(560-y)$$ --> $$y=200$$.

Hope it's clear.
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Re: Of the 800 employees in a certain company, 70% have serviced [#permalink]

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05 Feb 2012, 04:19
Ans is 200 employees
let y employees retire so now 560-y employees remain. So total no of employees becomes 800-y
560-y/800-y = 60/100
on solving we get y =200
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Re: Of the 800 employees in a certain company, 70% have serviced [#permalink]

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02 Dec 2012, 00:10
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Of the 800 employees in a certain company, 70% have serviced more than 10 years. A number of y of those who have serviced more than 10 years will retire and no fresh employees join in. What is y if the 10 years employees become 60% of the total employees?

Solution:

TOTAL 10 YRS
Original: 800 560
New: 800-y 560-y

560-y = .6 (800 -y)
560-y = 480 - .6y
80 = .4y
800/4 = y
y= 200

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Of the 800 employees in a certain company, 70% have serviced [#permalink]

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19 Jun 2014, 03:36
Total Employees = 800

70% = 560

> than 10 Yrs ......... Others ............ Total

560 ..........................240 ..................... 800

Total y employees retire; new figures would be

560-y ................................. 240 ....................... 800-y

Given that post retirement of y employees; > than 10yrs employees would be 60% of total

This also means that the other employees are 40% of the total (Reason behind this step is to have the variable y only at one side of the equation)

Setting up the equation

$$240 = \frac{40}{100} (800-y)$$

y = 200

ARPS: Can you please provide the OA for this question?
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Re: Of the 800 employees in a certain company, 70% have serviced [#permalink]

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19 Jun 2014, 03:45
PareshGmat wrote:
Total Employees = 800

70% = 560

> than 10 Yrs ......... Others ............ Total

560 ..........................240 ..................... 800

Total y employees retire; new figures would be

560-y ................................. 240 ....................... 800-y

Given that post retirement of y employees; > than 10yrs employees would be 60% of total

This also means that the other employees are 40% of the total (Reason behind this step is to have the variable y only at one side of the equation)

Setting up the equation

$$240 = \frac{40}{100} (800-y)$$

y = 200

ARPS: Can you please provide the OA for this question?

The OA is 200. It's given under the spoiler in the original post.
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Re: Of the 800 employees in a certain company, 70% have serviced [#permalink]

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27 Aug 2015, 10:53
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Re: Of the 800 employees in a certain company, 70% have serviced   [#permalink] 27 Aug 2015, 10:53
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