Question

A membership sales person at a gym is given a choice of two different compensation plans. One plan offers a weekly salary of $300 plus a commision of $15 for each membership sold. The other plan offers no salary but pays $30 commission on each membership sold. How many memberships must the salesperson sell to make the same amount of money under both plans? FAST PLS

Answer 1

Answer: The salesperson must sell 20 memberships to make the same amount of money under both plans.

Explanation:

Let x be the number of memberships.

In first plan,

Weekly salary of $300 plus a commission of $15 for each membership sold.

i.e. Earning (weekly) = 300+15x

In second plan,

The other plan offers no salary but pays $30 commission on each membership sold.

i.e. earning = 30x

According to the question, when
`300+15x=30x`

`\Rightarrow\ 300=30x-15x\\\\\Rightarrow\ 300=15x\\\\\Rightarrow\ x=(300)/(15)\\\\\Rightarrow\ x=20`

Hence, the salesperson must sell 20 memberships to make the same amount of money under both plans.