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tagged by: M7MBA

If the sum of the annual salaries of n persons is $x and . . If the sum of the annual salaries of n persons is$x and the monthly salary per person is $y, what is the value of n in terms of x and y? A.$x/12y
B. $12x/y C.$12xy
D. $12y/x E.$xy/12

The OA is A .

I didn't know how to set the equation. Experts, may you assist me here?

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If the sum of the annual salaries of n persons is $x and the monthly salary per person is$y, what is the value of n in terms of x and y?

A. $x/12y B.$12x/y
C. $12xy D.$12y/x
E. $xy/12 The OA is A . I didn't know how to set the equation. Experts, may you assist me here? Hi M7MBA, Let's take a look at your question. The sum of the annual salaries of n persons is$x, so the average annual salary of a person is
$$=\frac{x}{n} ... (i)$$

Monthly salary of a person = $y Annual salary of a person = 12y ... (ii) Equation (i) and (ii), both are representing the annual salary of a person, therefore, we can write: $$\frac{x}{n}=12y$$ $$n=\frac{x}{12y}$$ Hence option A is correct. Hope it helps. I am available if you'd like any follow up. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Hi M7MBA, We're told the SUM of the annual salaries of N persons is$X and the monthly salary per person is $Y. We're asked for the value of N in terms of X and Y. This question can be solved by TESTing VALUES. IF.... N = 2 Y = 10 The total yearly salaries for these two people is (2)(12)($10) = $240 X = 240 So we're looking for an answer that equals 2 when Y=10 and X=240. There's only one answer that matches... Final Answer: A GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2950 messages Followed by: 19 members Upvotes: 43 M7MBA wrote: If the sum of the annual salaries of n persons is$x and the monthly salary per person is $y, what is the value of n in terms of x and y? A.$x/12y
B. $12x/y C.$12xy
D. $12y/x E.$xy/12
Since the monthly salary is $y, the annual salary for all n people is 12 * n * y = 12ny. Since we are also given that the sum of the annual salaries of the n people is$x , thus:

12ny = x

n = x/(12y)

Answer: A

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