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 of the sale 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?

Question

Mathematics

Adkins

4 April, 03:43

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 of the sale 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?

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Answers (1)

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Alayna Key · Answer 1

23.75%

Step-by-step explanation:

Well,

in 800, the first 500 receives 20% commission, and the next 800 - 500 = 300 receives 30% commission.

So,

500 * 20 % = 500 * 0.2 = $100

300 * 30% = 300 * 0.3 = $90

Total commission on $800 is 100 + 90 = $190.

To find percentage, we divide:

190/800 = 0.2375 * 100 = 23.75%