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21 Feb 2011, 07:31
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
84% (01:02) correct
16%
(01:07)
wrong
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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
(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
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
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21 Feb 2011, 07:48
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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"
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"
21 Feb 2011, 19:36
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GMATD11
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
