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# A certain salesperson's weekly salary is equal to a fixed base salary

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Senior Manager
Joined: 10 Nov 2010
Posts: 251

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Location: India
Concentration: Strategy, Operations
GMAT 1: 520 Q42 V19
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WE: Information Technology (Computer Software)
A certain salesperson's weekly salary is equal to a fixed base salary [#permalink]

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21 Feb 2011, 07:31
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Difficulty:

25% (medium)

Question Stats:

92% (00:49) correct 8% (00:00) wrong based on 13 sessions

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A certain salesperson's weekly salary is equal to a fixed base salary plus a commission that is directly proportional to the number of items sold during the week.If 50 items are sold this week , what will be the salesperson's salary for this week.

(1) Last week 45 items were sold.
(2) Last week's salary was \$405

[Reveal] Spoiler:
1) last week items sold , last week salary is also required to draw a relationship (Commission proportional to items sold) ----NS
2) number of Items sold last week is also required to draw a relationship --
NS

1 & 2
when number of items sold is 45 salary is 405
if ------------------------- 50-------ill be 410 as items sold are proportional to commission

C
Which is wrong

Anyways my question is the relation mentioned in the question between commission nd items sold means wht if it is not applicable here.In which scenario this relation ill be use full.

Thanks
[Reveal] Spoiler: OA

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Re: A certain salesperson's weekly salary is equal to a fixed base salary [#permalink]

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21 Feb 2011, 07:48
Combining both statements;

Say; last, the fixed salary was 400; commission/item= 5/45
So; when 50 items sold; salary could be 400+(5/45)*50
or
Say; last, the fixed salary was 300; commission/item= 105/45
salary could be 300+(105/45)*50

Directly proportional here means that with every item sold, he is getting a fixed commission for that; but the exact value of the fixed commission is unknown.

Ans: "E"
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Re: A certain salesperson's weekly salary is equal to a fixed base salary [#permalink]

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21 Feb 2011, 19:36
GMATD11 wrote:
95) A certain salesperson's weekly salary is equal to a fixed base salary plus a commission that is directly proportional to the number of items sold during the week.If 50 items are sold this week , what will be the salesperson's salary for this week.

1) Last week 45 items were sold.
2) Last week's salary was \$405

1) last week items sold , last week salary is also required to draw a relationship (Commission proportional to items sold) ----NS
2) number of Items sold last week is also required to draw a relationship --
NS

1 & 2
when number of items sold is 45 salary is 405
if ------------------------- 50-------ill be 410 as items sold are proportional to commission

C
Which is wrong

Anyways my question is the relation mentioned in the question between commission nd items sold means wht if it is not applicable here.In which scenario this relation ill be use full.

Thanks

When we say that A is directly proportional to B, it means as A increases, B also increases in the same proportion. e.g. is A doubles, B also doubles. If A becomes a third, B also becomes a third and so on...

The relation is written as
A = kB (where k is the constant of proportionality)
or we can say A/B is a constant

Say, I tell you that when A is 10, B is 140. What is B when A is 25?
There are two ways to handle this:

A/B is a constant
A/B = 10/140 = 25/B
So B = 350

or

A = kB
10 = k*140
k = 1/14
So, relation between A and B is A = (1/14)*B

25 = (1/14)*B
B = 350
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Re: A certain salesperson's weekly salary is equal to a fixed base salary   [#permalink] 21 Feb 2011, 19:36
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