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# Sam's monthly earnings consist of a monthly salary and a 4

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Sam's monthly earnings consist of a monthly salary and a 4 [#permalink]

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13 Feb 2006, 20:39
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Sam'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 Sam's monthly salary was the same in July as in August, how much greater were her sales in July than in August? (1) Sam's monthly earnings were$3,620 in July and $3,580 in August. (2) Sam's monthly salary was$3,500 in July and in August.
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13 Feb 2006, 20:54
monthly earnings, e = s + 0.04(sales-2000)

(1) e = 3620 in July, 3580 in August
ej = sj +0.04(salesj-2000)
ea = sa +0.04(salesa-2000)

but sj = sa
so
ej-ea = 0.04(salesj-2000) - 0.04(salesa-2000)
1000 = salesj - 2000 -salesa + 2000
salesj - salesa = 1000

Sufficient.

(2) sj = sa = 2500. But we do not have any other information to derive sales figures. Insufficient.

Ans A
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13 Feb 2006, 23:01
joemama142000 wrote:
Sam'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 Sam's monthly salary was the same in July as in August, how much greater were her sales in July than in August? (1) Sam's monthly earnings were$3,620 in July and $3,580 in August. (2) Sam's monthly salary was$3,500 in July and in August.

stmt1,

if S is the monhtly salary (constant in both months) then

3620=S+.04 (x-2000) ---1
3580=S+.04(y-2000) ---2

subtract 1 and 2, and you get the diff between x and y which is the diff in sales --- suff

stmt 2
we dont know monthly earnings nor do we know monthly sales, -- insuff

Hence A.
Re: monthly salary   [#permalink] 13 Feb 2006, 23:01
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