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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] New post 04 Feb 2012, 12:24
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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:
Answer: 200

Last edited by Bunuel on 04 Feb 2012, 12:29, edited 1 time in total.
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Re: 700 + Ques [#permalink] New post 04 Feb 2012, 12:28
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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] New post 05 Feb 2012, 03:19
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] New post 01 Dec 2012, 23:10
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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

Answer: 200
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Of the 800 employees in a certain company, 70% have serviced [#permalink] New post 19 Jun 2014, 02:36
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

Answer = 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] New post 19 Jun 2014, 02:45
Expert's post
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

Answer = 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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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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.


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Re: Of the 800 employees in a certain company, 70% have serviced   [#permalink] 19 Jun 2014, 02:45
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