Question

each week a certain salesman is paid a fixed amount equal to dollar 300 plus a commission equal to 5 percent of the amount of his sales that week over dollar 1000. what was the total amount the salesman was paid last week? 1. the total a

Answer 1

Say S is the amount of his sales that week, then:

If S≤1,000S1000, salesman's profit is $300300;
If S>1,000S1000, salesman's profit is $300+(S−1,000)∗0.05300S10000.05.

So, no penalties there, just two cases for the profit: if S≤1,000S1000 then the profit is simply $300 and if S>1,000S1000, then the profit is $300+(S−1,000)∗0.05300S10000.05.

(1) The total amount the salesman was paid last week is equal to 10 percent of the amount of his sales last week. Given: profit=0.1∗Sprofit0.1S. It's clear that S must be greater than $1,000, so we have that $300+(S−1,000)∗0.05=0.1S300S10000.050.1S. We can calculate S, hence calculate the profit. Sufficient.

(2) The salesman's sales last week totaled $5,000. Directly gives the value of S, hence calculate the profit. Sufficient.

Answer: D.

Hope it's clear.
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