Question

What is the monthly gross pay for Miss Cates if she earns ${\text{\$ 2,250}}$ a month with $4.29\% $ in commission and ${\text{\$ 4828}}$ in sales?

Answer 1

Hint: The given question asks us to find the monthly gross pay of Mrs Cates . First we are given that she earns ${\text{\$ 2,250}}$a month which is independent of the sales or any other added bonuses that she might receive, The next important thing to note that the gross pay which is asked will be sum of the monthly amount she receives which is ${\text{\$ 2,250}}$ and the commission. Which is said to be at $4.9\% $ of the monthly sales she makes. She made ${\text{\$ 4828}}$ for sales so she will receive $4.9\% $ of ${\text{\$ 4828}}$ and this will be added to her monthly pay. The gross pay can thus be denoted as sum of monthly pay and the commission.

Complete step by step solution:
Since we have to find the gross pay we will add the monthly pay that she receives which is ${\text{\$ 2,250}}$ a month and the commission of $4.9\% $ from sales.
Since percent means out of $100$ or per $100$ the percent $4.9\% $ can be written as ,
$\dfrac{{4.9}}{{100}}$
So we finally write as gross pay $g$
$g = \$ 2250 + \left( {\dfrac{{4.9}}{{100}} \cdot \$ 4828} \right)$
$g = \$ 2250 + \dfrac{{\$ 23657.2}}{{100}}$
Upon solving the question we get,
$g = \$ 2250 + \$ 236.57$
Upon adding these numbers we get final gross pay of Mrs. Cate as
$g = \$ 2486.57$
Hence the gross pay of Mrs. Cates is $\$ 2486.57$
So, the correct answer is “$\$ 2486.57$”.

Note: The percent means per cent or per hundred so if someone asks for $5\% $ it will simply mean in easy terms as he/she is asking for a part equal to $5$ parts in the total parts equal to $100$ parts.