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%

Respuesta :

33%
The Answer is Choice D.

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

[tex] 24,650 +(87,100 \times \frac{r}{100})= 53,393 [/tex]

[tex] (87,100 \times \frac{r}{100})= 53,393-24,650 [/tex]

[tex] (87,100 \times \frac{r}{100})= 28,743 [/tex]

[tex] 87,100 \times {r}= 28,743 \times 100 [/tex]

[tex] 87,100 \times {r}= 2874300 [/tex]

[tex] {r}= \frac{2874300}{87100} [/tex]

r  = 33%

Therefore, the rate of commission is 33%.