Question

Lorenzo is a salesman whose base pay plus commissions amounted to $53,393 last year. If his base pay was $24,650 and he made $87,100 in sales last year, what was his rate of commission?
A. 33%

B. 28%

C. 46%

D. 61%

Answer 1

33%
The Answer is Choice D.

Answer 2

Since, a salesman whose base pay plus commissions amounted to $53,393 last year. If his base pay was $24,650 and he made $87,100 in sales last year. We have to evaluate the rate of commission.

Let the rate of commission be 'r%'.

Therefore,

24,650 + (87,100 of r%) = 53,393

$24,650 +(87,100 \times \frac{r}{100})= 53,393$

$(87,100 \times \frac{r}{100})= 53,393-24,650$

$(87,100 \times \frac{r}{100})= 28,743$

$87,100 \times {r}= 28,743 \times 100$

$87,100 \times {r}= 2874300$

${r}= \frac{2874300}{87100}$

r  = 33%

Therefore, the rate of commission is 33%.