For each of her sales, a saleswoman receives a commission

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BTGmoderatorLU: Moderator; Posts: 2650; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Sat Dec 01, 2018 5:25 am

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Source: GMAT Prep

For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman's commission was approximately what percent of the total amount of the sale?

A. 22%
B. 24%
C. 25%
D. 27%
E. 28%

The OA is B

Source: Beat The GMAT — Problem Solving | Sat Dec 01, 2018 5:25 am

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by Brent@GMATPrepNow » Sat Dec 01, 2018 10:19 am

BTGmoderatorLU wrote:Source: GMAT Prep

For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman's commission was approximately what percent of the total amount of the sale?
A. 22%
B. 24%
C. 25%
D. 27%
E. 28%

Saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount in excess of $500
If she sold $800, then...
Commission = (20 percent of $500) + (30 percent of $300)
= $100 + $90
= $190

The saleswoman's commission was approximately what percent of the total amount of the sale?
$190/$800 = 19/80 = 0.2375 = 23.75%

Answer: B

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Brent

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by GMATGuruNY » Sat Dec 01, 2018 2:39 pm

BTGmoderatorLU wrote:Source: GMAT Prep

For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman's commission was approximately what percent of the total amount of the sale?

A. 22%
B. 24%
C. 25%
D. 27%
E. 28%

The first $500 of the $800 sale earns 20% commission, while the remaining $300 earns 30%.
Average commission percentage per $800 = (500*20 + 300*30)/800 = (5*20 + 3*30)/8 = 190/8 = 23.75 ≈ 24.

The correct answer is B.

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by Scott@TargetTestPrep » Sun Mar 24, 2019 5:17 pm

BTGmoderatorLU wrote:Source: GMAT Prep

For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman's commission was approximately what percent of the total amount of the sale?

A. 22%
B. 24%
C. 25%
D. 27%
E. 28%

The OA is B

We can first determine the commission for the 800 dollar sale:

0.2 x 500 + 0.3 x 300 = 100 + 90 = 190

So the commission was 190/800 = 19/80 or slightly less than 20/80 = 1/4 = 25%, so 24%.

Answer: B

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