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19 Feb 2018, 23:10
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Difficulty:

15% (low)

Question Stats:

94% (00:54) correct 6% (00:25) wrong based on 21 sessions

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A salesclerk is paid a minimum weekly salary of $210 plus a commission equal to 10% of the value of sales she makes in excess of$3,000 for the week. If the sales-clerk wishes to earn at least $370 for a week, what is the minimum value of sales she must make for that week? (A)$1,600

(B) $3,700 (C)$4,600

(D) $6,700 (E)$6,910

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Senior Manager
Joined: 31 May 2017
Posts: 348
Re: A salesclerk is paid a minimum weekly salary of $210 plus a commissio [#permalink] ### Show Tags 19 Feb 2018, 23:17 Minimum Salary -$ 270
To get a weekly salary of $370 - salesclerk needs to get$160 ($370 -$210) in commission.

Commission is 10% of sales done in excess of $3000. To get$160 in commission , the salesclerk should generate $1600 in excess of$3000. So the total sales done should be $4600. Ans: C _________________ Please give kudos if it helps Resources | | | | | Senior Manager Joined: 07 Jul 2012 Posts: 372 Location: India Concentration: Finance, Accounting GPA: 3.5 Re: A salesclerk is paid a minimum weekly salary of$210 plus a commissio  [#permalink]

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19 Feb 2018, 23:22
Excess Sale= $4600 -$3000= $1600 Commission=$1600 *$$\frac{10}{100}$$= $160 Total Earning =$210+$160=$370

Minimum Target Sale= $4600 Answer: C. _________________ Kindly hit kudos if my post helps! Senior SC Moderator Joined: 22 May 2016 Posts: 3064 A salesclerk is paid a minimum weekly salary of$210 plus a commissio  [#permalink]

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20 Feb 2018, 12:15
Bunuel wrote:
A salesclerk is paid a minimum weekly salary of $210 plus a commission equal to 10% of the value of sales she makes in excess of$3,000 for the week. If the sales-clerk wishes to earn at least $370 for a week, what is the minimum value of sales she must make for that week? (A)$1,600

(B) $3,700 (C)$4,600

(D) $6,700 (E)$6,910

I think the logic-based approaches above are faster, but if you prefer algebra:

Let x = dollar amount of sales needed
She gets no commission for sales up to $3,000. That first$3,000 must be subtracted from the calculation of x

$$210 + .10(x - 3,000) = 370$$
$$210 + .10x - 300 = 370$$
$$.10x = 460$$
$$x=\frac{460}{\frac{1}{10}}=460*10=4,600$$

Answer choices are another quick option.

She makes NO commission until sales are over $3,000. Then she makes 10% commission. Eliminate Answer A = no commission. Start with C)$4,600

The first $3,000 = no commission. Only 10 percent above$3,000 matters:
($4,600 -$3,000) = $1,600 sales (above$3,000)

She gets 10% of $1,600 =$160
Base = $210 +$160 = $370 That's a match. Answer C _________________ SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here. Tell me, what is it you plan to do with your one wild and precious life? -- Mary Oliver Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2823 Re: A salesclerk is paid a minimum weekly salary of$210 plus a commissio  [#permalink]

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22 Feb 2018, 09:25
Bunuel wrote:
A salesclerk is paid a minimum weekly salary of $210 plus a commission equal to 10% of the value of sales she makes in excess of$3,000 for the week. If the sales-clerk wishes to earn at least $370 for a week, what is the minimum value of sales she must make for that week? (A)$1,600

(B) $3,700 (C)$4,600

(D) $6,700 (E)$6,910

Letting t = her total sales for the week, we can create the following equation:

210 + 0.1(t - 3000) ≥ 370

0.1t - 300 ≥ 160

0.1t ≥ 460

t ≥ 4,600

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