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? (a) 22% (b) 24% (c) 25% (d) 27% (e) 28%

B= 24%

Explanation:

The answer is arrived at by calculating the commission on the first $500 and adding that sum to the commission in excess of $500. Calculate the percentage of the total commission in the total sale

Step 1: Calculate Total Commission Received

Commission received by the Saleswoman for $500

= 20% of $500

= 0.2 x $500 = $100

Commission received by the Sales for the excess over $500

Excess of $500= $800 - $500= $300

= $300 x 30%

=0.3 x $300= $90

Total Commission received by the saleswoman on $800 sales= $100+ $90

= $190

Step 2: Calculate the approximate percentage of the total amount of sales she received as commission

= Total Commission Received/ Total Sales

= (190/800) x 100= 23.75%

An Approximation of this 24%

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