Question

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%

Answer 1

B= 24%

Step-by-step 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%