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A salesclerk is paid a minimum weekly salary of $210 plus a commissio

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Bunuel
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A salesclerk is paid a minimum weekly salary of $210 plus a commissio [#permalink] New post   19 Feb 2018, 23:10
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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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Re: A salesclerk is paid a minimum weekly salary of $210 plus a commissio [#permalink] New post   19 Feb 2018, 23:17
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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
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Re: A salesclerk is paid a minimum weekly salary of $210 plus a commissio [#permalink] New post   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.
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A salesclerk is paid a minimum weekly salary of $210 plus a commissio [#permalink] New post   20 Feb 2018, 12:15
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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 C

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
Add to Base salary
Base = $210 + $160 = $370
That's a match.

Answer C
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Re: A salesclerk is paid a minimum weekly salary of $210 plus a commissio [#permalink] New post   22 Feb 2018, 09:25
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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

Answer: C
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Re: A salesclerk is paid a minimum weekly salary of $210 plus a commissio [#permalink] New post   10 Mar 2021, 11:44
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Re: A salesclerk is paid a minimum weekly salary of $210 plus a commissio [#permalink]
10 Mar 2021, 11:44
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