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At a certain sales agency, each salesperson receives a monthly base

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At a certain sales agency, each salesperson receives a monthly base [#permalink]

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New post 08 Aug 2017, 23:58
2
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A
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D
E

Difficulty:

  45% (medium)

Question Stats:

57% (00:50) correct 43% (00:29) wrong based on 68 sessions

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At a certain sales agency, each salesperson receives a monthly base salary of $2000, plus commission equal to 10% of her sales over $2500 for that month. How much did Allison earn in June?

(1) The amount that Allison earned in June was equal to 20% of her total sales for June.

(2) Had Allison sold $17500 more than she did in June, her total earnings would have equaled 15% of her sales.
Spoiler: OA

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At a certain sales agency, each salesperson receives a monthly base [#permalink]

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New post 09 Aug 2017, 00:17
Bunuel wrote:
At a certain sales agency, each salesperson receives a monthly base salary of $2000, plus commission equal to 10% of her sales over $2500 for that month. How much did Allison earn in June?

(1) The amount that Allison earned in June was equal to 20% of her total sales for June.

(2) Had Allison sold $17500 more than she did in June, her total earnings would have equaled 15% of her sales.


Let sales in June be \(S\)
As per the question stem Income = 2000 + 10%*(S-2500) . Hence to calculate earning we need the value of \(S\)

Statement 1: Income = 20% of S
this implies 20% of S = 2000 + 10%*(S-2500) . this is a linear equation with only one unknown value \(S\), hence sufficient to find the value of S

Statement 2: Income = 15% of (S+ 17500)
this implies 15% of (S+ 17500) = 2000 + 10%*(S+17500-2500). a linear equation in \(S\). Hence the value of \(S\) can be found. Sufficient

Option \(D\)
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At a certain sales agency, each salesperson receives a monthly base [#permalink]

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New post 09 Aug 2017, 01:22
Option D

\(2000 + (X - 2500) * 0.1 = ?\)

Stmt 1
\(2000 + (X - 2500) * 0.1 = 0.2X\)
1 equation 1 variable --> can be solved

Stmt 2
\(2000 + (X + 15000)* 0.1 = 0.15(X + 17500)\)
again, 1 equation 1 variable --> can be solved
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Re: At a certain sales agency, each salesperson receives a monthly base [#permalink]

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New post 10 Aug 2017, 12:08
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Bunuel wrote:
At a certain sales agency, each salesperson receives a monthly base salary of $2000, plus commission equal to 10% of her sales over $2500 for that month. How much did Allison earn in June?

(1) The amount that Allison earned in June was equal to 20% of her total sales for June.

(2) Had Allison sold $17500 more than she did in June, her total earnings would have equaled 15% of her sales.


Monthly Salary, J = 2000 + 0.1(S - 2500)
J = ?

1) 2000 + 0.1(S - 2500) = 0.2S
=> 1750 = 0.1S
=> S = 17,500
We can find the earnings in June. Sufficient.

2) 2000 + 0.1(S - 2500 + 17500) = 0.15(S + 17500)
=> S = \(\frac{875}{0.05}\)
=> S = 17,500
We can find the earnings in June. Sufficient.

D is the answer.
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Re: At a certain sales agency, each salesperson receives a monthly base   [#permalink] 10 Aug 2017, 12:08
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