A karaoke machine saleswoman whose base pay plus commissions amounted to $38,486 last year earned a commission of 14.5% on each

Question

3 years ago

10

A karaoke machine saleswoman whose base pay plus commissions amounted to $38,486 last year earned a commission of 14.5% on each

karaoke machine sold. if each karaoke machine she sold cost $1300 and if her base pay was $35,470, how many karaoke machines did the saleswoman sell last year?

Mathematics

2 answers:

gogolik [260] · Answer 1 · 2022-04-07T05:25:39+03:00

Total pay for the year (x) = Base pay + (percentage commission)*x, where x is the number of karaoke machines sold.

Total pay (x) = $35,470 + ($1,300/machine) * (1.145)*x = $38,486. The 1.145 factor represents the unit price of each machine sold PLUS the 14.5% commission.

Let's begin solving this for x by subtracting $35,470 from both sides of this equation. The result is $3,016, which represents commission income.

Each machine sells for $1,300, and the saleswoman earns 14.5% on each sold. That comes to 1.145($1,300) = $1488.50 per machine sold.

Dividing both sides of this equation by ($1,488.50/machine), we get

$3016

x = ------------------------- = 2.027. Round this off to 2, representing the

$1488.50 commission earned on the sale of

2 machines.