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A salesperson receives a salary of $100 a week and a commission of 5%

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A salesperson receives a salary of $100 a week and a commission of 5%  [#permalink]

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New post 01 Mar 2018, 00:19
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A salesperson receives a salary of $100 a week and a commission of 5% on all sales. What must be the amount of sales for a week in which the salesperson's total weekly income is $360?

(A) $6,200

(B) $5,200

(C) $2,600

(D) $720

(E) $560

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Re: A salesperson receives a salary of $100 a week and a commission of 5%  [#permalink]

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New post 01 Mar 2018, 00:35
Bunuel wrote:
A salesperson receives a salary of $100 a week and a commission of 5% on all sales. What must be the amount of sales for a week in which the salesperson's total weekly income is $360?

(A) $6,200

(B) $5,200

(C) $2,600

(D) $720

(E) $560


As the calculation is straighforward, we'll just do it.
This is a Precise approach.

Since the salesperson made $360, out of which $100 was salary and the rest commission, then the salesperson made $260 of commission.
Since this is 5% of the sales, the total amount of sales must be 260 / 0.05 = 260*20 = $5200

(B) is our answer.
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Re: A salesperson receives a salary of $100 a week and a commission of 5%  [#permalink]

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New post 03 Mar 2018, 00:31
Bunuel wrote:
A salesperson receives a salary of $100 a week and a commission of 5% on all sales. What must be the amount of sales for a week in which the salesperson's total weekly income is $360?

(A) $6,200

(B) $5,200

(C) $2,600

(D) $720

(E) $560

IMO B
salary for week 360- 100(fixed salary)=260 which is equal to 5% of total sales
let total sales be x then x=260*20=5200
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Re: A salesperson receives a salary of $100 a week and a commission of 5%  [#permalink]

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New post 03 Mar 2018, 02:31
Bunuel wrote:
A salesperson receives a salary of $100 a week and a commission of 5% on all sales. What must be the amount of sales for a week in which the salesperson's total weekly income is $360?

(A) $6,200

(B) $5,200

(C) $2,600

(D) $720

(E) $560


Let, Sales = x

360 = 100+ (5/100)*x

i.e. 260 = x/20

i.e. x = 5200

Answer: option B
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Re: A salesperson receives a salary of $100 a week and a commission of 5% &nbs [#permalink] 03 Mar 2018, 02:31
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