The price of a children's car model is \( 5x \) LE.
A shopkeeper purchases it with a discount of 10 LE and assembles it, then sells it for \( (6x + 7) \) LE.
Write the algebraic expression for the shopkeeper's profit.
If \( x = 40 \), what is the profit?
A shopkeeper purchases it with a discount of 10 LE and assembles it, then sells it for \( (6x + 7) \) LE.
Write the algebraic expression for the shopkeeper's profit.
If \( x = 40 \), what is the profit?
\[
\begin{aligned}
&\text{Purchase Price} = 5x - 10 \\
&\text{Selling Price} = 6x + 7 \\
&\text{Profit} = \text{Selling Price} - \text{Purchase Price} \\
&= (6x + 7) - (5x - 10) \\
&= 6x + 7 - 5x + 10 \\
&= x + 17
\end{aligned}
\]
At \( x = 40 \):
\[ \text{Profit} = 40 + 17 = 57 \text{ LE} \]MR/Nasef.N
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