Silvio's gross earnings for last week were $528.54. His remuneration consists of a base salary of $480 plus a commission of 6% on net sales exceeding his weekly quota of $5000. What were Silvio's gross sales for the week
Let's assume Silvio's gross sales for the week were x dollars.
His commission on net sales exceeding his quota of $5000 is 6% of (x - $5000).
So his commission can be calculated as 0.06 * (x - $5000).
Since his gross earnings were $528.54, that includes his base salary of $480 as well as his commission.
Therefore, we can set up the equation: $528.54 = $480 + 0.06 * (x - $5000).
Simplifying the equation: $528.54 = $480 + 0.06x - $300.
Combining like terms: $528.54 = 0.06x + $180.
Subtracting $180 from both sides: $528.54 - $180 = 0.06x.
Simplifying: $348.54 = 0.06x.
Dividing both sides by 0.06: x = $5810.
Therefore, Silvio's gross sales for the week were $5810.