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12 Nov 2023, 23:55
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Difficulty:
55%
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Question Stats:
65% (01:59) correct
35%
(02:03)
wrong
based on 496
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Sue's monthly earnings consist of a monthly salary and a 4 percent commission on the portion of her monthly sales that is in excess of $2,000. If Sue's monthly salary was the same in July as in August, how much greater were her sales in July than in August?
(1) Sue's monthly earnings were $3,620 in July and $3,580 in August.
(2) Sue's monthly salary was $3,500 in July and in August.
Screenshot 2023-11-13 at 2.41.51 PM.png [ 193.04 KiB | Viewed 5741 times ]
(1) Sue's monthly earnings were $3,620 in July and $3,580 in August.
(2) Sue's monthly salary was $3,500 in July and in August.
Attachment:
Screenshot 2023-11-13 at 2.41.51 PM.png [ 193.04 KiB | Viewed 5741 times ]
13 Nov 2023, 00:27
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Let Monthly Earnings - > E july and E august
MONTHLY SALARY - S
MONTHLY SALES-> sales july and sales Aug
To find sales july - sales Aug
Stmt I
E(july)= s + 4/100(sales july-2000) (1)
E(aug) = s + 4/100(sales aug -2000) (2)
E july and E Aug are given
Subtract 1) - 2 gives sales july- sales aug which is what we need( the s's cancel since is given monthly salary is same for july and aug)
SUFF
Stmt II
Sue’s monthly salary was $3,500 in July and in August
Seevral unknowns like E july,E Aug, sales July and sales Aug
INSUFF
A)
MONTHLY SALARY - S
MONTHLY SALES-> sales july and sales Aug
To find sales july - sales Aug
Stmt I
E(july)= s + 4/100(sales july-2000) (1)
E(aug) = s + 4/100(sales aug -2000) (2)
E july and E Aug are given
Subtract 1) - 2 gives sales july- sales aug which is what we need( the s's cancel since is given monthly salary is same for july and aug)
SUFF
Stmt II
Sue’s monthly salary was $3,500 in July and in August
Seevral unknowns like E july,E Aug, sales July and sales Aug
INSUFF
A)
13 Nov 2023, 01:04
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Let the monthly salary of Sue be X
Statement 1 (SUFFICIENT):
July commission = 3620-X
August commission =3500-X
Difference in commission (in J and A) = (3620-X)-(3500-X) = 40
Difference in sales (in J and A) = 40/(4/100) = 1000 (since commission is 4% of her monthly sales in excess of $2000 - but we don't care about the $2000 because we just want the difference in her sales)
Statement 2 (INSUFFICENT):
We are only given salary but we have no information on the commission / sales in July and August
Answer: A
Statement 1 (SUFFICIENT):
July commission = 3620-X
August commission =3500-X
Difference in commission (in J and A) = (3620-X)-(3500-X) = 40
Difference in sales (in J and A) = 40/(4/100) = 1000 (since commission is 4% of her monthly sales in excess of $2000 - but we don't care about the $2000 because we just want the difference in her sales)
Statement 2 (INSUFFICENT):
We are only given salary but we have no information on the commission / sales in July and August
Answer: A
Could you please help me?
