Of The 800 Employees Of Company X, 70 Percent Have Been With The Company GMAT Problem Solving

Question: Of the 800 employees of Company X, 70 percent have been with the company for at least ten years. If y of these "long-term" members were to retire and no other employee changes were to occur, what value of y would reduce the percent of "long-term" employees in the company to 60 percent ?

1. 200
2. 160
3. 112
4. 80
5. 56

“Of the 800 employees of Company X, 70 percent have been with the company”- is a topic that is covered under the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”.

The candidate must have certain skills in basic mathematical calculations in order to solve GMAT Problem-Solving questions. GMAT quant helps the candidates to enhance their logical and mathematical proficiency. The candidate must determine the right answer by solving it mathematically. To solve these calculative mathematical problems in the problem-solving domain of GMAT Quant topic, the candidates need to enhance their qualitative skills.

Solution and Explanation:

Approach Solution 1:

The problem statement remarks that:

Given:

• Total employees of Company X = 800
• 70 % of the total employee are long-term employees
• y of these long-term employees were to retire and the company bear no changes in the employee number.

Find Out:

• What would be the value of y that would lessen the long-term employee's percentage to 60 percent?

No. of long-term employees= 70%*800 = 560

If y of them retire, then the number of long-term employees would be= 560-y
The total no. of employees would be= 800-y

The candidate requires 560-y to be 60% of 800-y
That is 560-y= (800-y) *60%
Therefore, y= 200

Hence, option A is the correct answer.

Approach Solution 2:

The problem statement follows:
Given:
The total number of employees given is 800
Of the employees that stay within the company for ten years= 70%
A number of y of these ten-year employees retire and no new employee joins in

Find Out:
What will be the value of y if 10 years of workers become 60% of the total employees?

Total years= 10
The original number of employees= 800
Total number of employees that have served for 10 years= 70%*800= 560
New number of employees: 800-y and 560-y

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

Hence option A is the correct choice.

Approach Solution 3:

As per the problem statement, the total number of employees is 800. 70 percent has served the company for 10 years. If y of these long-served employees retire and no employee joins further, find out the value of y that reduces the long-term employees to 60 %.

No. of long term employees= 800* 0.7 = 560
No. of short-term employees= 800* 0.3 = 240

Therefore, it can be concluded that
(560- y)/240 = 3/2

2y = 400
y = 200
Hence, option A is the correct answer.

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