Question

A travel agent receives a 6% commission on the base fare of a customer- that is the fare before sales tax is added. If the total fare charged to a customer comes to $765.71 including 5.5% sales tax, how much commission shouldthe agent receive?The agent should receive=(Round the final answer to two decimal places as needed. Round all intermediate values to two decimal placesneeded)

Answer 1

Let x represent the base tax. If the total fare charged to a customer comes to $765.71 including 5.5% sales tax, it means that

5.5% of x + x = 765.71

5.5/100 * x + x = 765.71

0.055 + x = 765.71

1.055x = 765.71

x = 725.79

The base fee is 725.79

If the travel agent receives a 6% commission on the base fare of a customer, it means that the commission received is

6/100 x 725.79

= 43.55