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In a certain furniture store, each week Nancy earns a salary of $240 p

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In a certain furniture store, each week Nancy earns a salary of $240 p [#permalink]

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New post 25 Jun 2015, 04:23
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In a certain furniture store, each week Nancy earns a salary of $240 plus 5% of the amount of her total sales that exceeds $800 for the week. If Nancy earned a total of $450 one week, what were her total sales that week ?

A. $2,200
B. $3,450
C. $4,200
D. $4,250
E. $5,000
[Reveal] Spoiler: OA
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Re: In a certain furniture store, each week Nancy earns a salary of $240 p [#permalink]

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New post 25 Jun 2015, 06:43
CharmiShah wrote:
In a certain furniture store, each week Nancy earns a salary of $240 plus 5% of the amount of her total sales that exceeds $800 for the week. If Nancy earned a total of $450 one week, what were her total sales that week ?

A. $2,200
B. $3,450
C. $4,200
D. $4,250
E. $5,000


450 = 240 + (5/100)*(Total Sales - 800)

i.e. (Total Sales - 800) = 20*(450-240) = 20*210 = 4200

i.e. Total Sales = 4200 + 800 = 5000

Answer: Option E
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Re: In a certain furniture store, each week Nancy earns a salary of $240 p [#permalink]

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New post 25 Jun 2015, 06:55
Thank you for prompt reply but didnt get below highlighted step :

450 = 240 + (5/100)*(Total Sales - 800)
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In a certain furniture store, each week Nancy earns a salary of $240 p [#permalink]

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New post 25 Jun 2015, 07:25
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CharmiShah wrote:
Thank you for prompt reply but didnt get below highlighted step :

450 = 240 + (5/100)*(Total Sales - 800)


450 = 240 + 5% of Sales above $800

and Sales above $800 = (Total Sales - 800)

E.g. if the totals sales = $1400 then sales above $800 = 1400-800 = $600


Now 5% of Sales above $800 = (5/100)*(Total Sales - 800)

Therefore,
450 = 240 + (5/100)*(Total Sales - 800)

I hope it helps you!
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Re: In a certain furniture store, each week Nancy earns a salary of $240 p [#permalink]

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New post 25 Jun 2015, 08:15
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CharmiShah wrote:
In a certain furniture store, each week Nancy earns a salary of $240 plus 5% of the amount of her total sales that exceeds $800 for the week. If Nancy earned a total of $450 one week, what were her total sales that week ?

A. $2,200
B. $3,450
C. $4,200
D. $4,250
E. $5,000


another way would be..
240 is fixed
she earns 450-240=210 above fixed amount..
now 210=5/100 of excess amount
or excess=4200..
total =4200+800=5000
ans E
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Re: In a certain furniture store, each week Nancy earns a salary of $240 p [#permalink]

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New post 03 Mar 2016, 01:57
Another Approach:

Total bonus: 450- 240 = 210

210 is equivalent to 5% of total sales over 800 so

(X - 800).005 = 210

Solve for x

X= 5000

Done

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Re: In a certain furniture store, each week Nancy earns a salary of $240 p [#permalink]

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New post 21 Mar 2018, 20:29
Hi All,

You can solve this question algebraically or by TESTING the Answers. Here's how you can use the answers to your advantage…

Let's TEST answer D: $4250

IF Nancy sold $4250 in furniture, she'd get $240 + 5% of $3450….

240 + .05(3450) = 240 + 172.50 = $412.50

$412.50 is not enough money to match the $450 that she actually received, which means that answer D is TOO LOW. So we need an answer that gets her more money. There's only one answer that fits...

Final Answer:
[Reveal] Spoiler:
E


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Re: In a certain furniture store, each week Nancy earns a salary of $240 p   [#permalink] 21 Mar 2018, 20:29
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