# A salesman earns 2,500 a week plus 6% commission on weekly sales exceeding 7,500. If his salary plus commission during one week amounted to 5,500 , how much was his sales?

1
by primehomies

• Brainly User
2016-01-28T07:17:12+08:00

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ANSWER: His sales for the weeks was 57,500 pesos.

Solution:
1)  Subtract the salary from 5,500 to find the commission.
5,500 - 2,500 = 3,000

2)  Find the source/basis of the 3,000 commission at 6%.  This is the sales
exceeding 7,500.

Basis of commission = x

Equation:

0.06x = 3,000
0.06x/0.06 = 3,000/0.06
x = 50,000    ⇒  amount exceeding 7,500

3)  Add 50,000 to 7,500 to solve for sales for the weeK
50,000 + 7,500 = 57,500

In one equation:
Let S be the sales for the week:
S = [(5,500 - 2,500) /0.06] + 7,500
S = (3,000)/0.06) + 7,500
S = 50,000 + 7,500
S = 57,500