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If the sum of the annual salaries of n persons is $x and the monthly s

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If the sum of the annual salaries of n persons is $x and the monthly s [#permalink]

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New post 28 Mar 2017, 02:29
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61% (01:09) correct 39% (01:13) wrong based on 90 sessions

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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

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Re: If the sum of the annual salaries of n persons is $x and the monthly s [#permalink]

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New post 28 Mar 2017, 02:37
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MathRevolution 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


monthly salary per person is $y
annual salaries is $x
total person n

therefore we have 12*y*n = x
n = x/(12y)

MathRevolution: can you please confirm the OA ? I guess it should be A instead of B.

Hence option A is correct
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Math Revolution GMAT Instructor
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Re: If the sum of the annual salaries of n persons is $x and the monthly s [#permalink]

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New post 30 Mar 2017, 02:19
==> Since the monthly salary per person is $y, the annual salary per person becomes $12y and the total sum of the annual salaries of n number of people becomes $12ny. Since it is $x, from $12ny=$x, you get n=x/12y.

The answer is A.
Answer: B
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Re: If the sum of the annual salaries of n persons is $x and the monthly s [#permalink]

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New post 25 Aug 2017, 08:21
Let n=10, total salary x = 12000 thus
Total monthly salary = \(\frac{12000}{12} = 1000\)
Monthly salary per person y = \(\frac{1000}{10} = 100\)
Question asking for n which is 10
Option A: \(\frac{12000}{12*100} = 100\)
Thus option A
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Re: If the sum of the annual salaries of n persons is $x and the monthly s [#permalink]

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New post 25 Aug 2017, 09:11
Here given that

x = n * 12y

As x is sum of annual salary and y is the monthly salary
n is the no of person

Hence n = x / 12y

Ans A

Hope this helps
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Re: If the sum of the annual salaries of n persons is $x and the monthly s   [#permalink] 25 Aug 2017, 09:11
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