Pregunta
A man receives a commission of \( 7 \frac{1}{2} \) on all sales made. In a particular man, his commission was GH\& 1050.00 Find his total sales for that month.
Ask by Reed Summers. in Ghana
Mar 11,2025
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His total sales for the month were \(GH\ 14000.00\).
Solución
Let \( x \) be the total sales for the month.
The commission rate is \(7.5\%\), which can be written as a decimal: \(0.075\).
The commission earned is given by:
\[
0.075x = 1050
\]
To solve for \( x \), divide both sides by \( 0.075 \):
\[
x = \frac{1050}{0.075}
\]
Calculating the division:
\[
x = 14000
\]
Thus, his total sales for the month were \(GH\ 14000.00\).
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Simplifique esta solución Beyond the Answer
To find the total sales for the man, we start with the commission rate, which is \( 7 \frac{1}{2} \)% or \( 7.5\% \) when converted to a decimal, this becomes \( 0.075 \). Given that his commission for the month was GH₵ 1050.00, we can use the formula for commission: \[ \text{Commission} = \text{Sales} \times \text{Commission Rate} \] Rearranging this formula to find the total sales, we get: \[ \text{Sales} = \frac{\text{Commission}}{\text{Commission Rate}} \] Plugging in the values: \[ \text{Sales} = \frac{1050}{0.075} = 14,000 \] So, the man's total sales for that month was GH₵ 14,000.00.
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