Answer :

Sure, I'd be happy to help you with this question!

To determine the profit made by a woman who buys a basket of oranges for [tex]\( x \)[/tex] cedis and sells it for [tex]\( y \)[/tex] cedis, you can follow these step-by-step calculations:

1. Identify the Cost Price (CP):
- The cost price (CP) is the amount the woman paid to buy the basket of oranges, which is [tex]\( x \)[/tex] cedis.

2. Identify the Selling Price (SP):
- The selling price (SP) is the amount the woman receives when she sells the basket of oranges, which is [tex]\( y \)[/tex] cedis.

3. Calculate the Profit (P):
- Profit is the difference between the selling price and the cost price. Mathematically, it is given by:
[tex]\[ P = SP - CP \][/tex]

Substituting in the values for SP and CP:
[tex]\[ P = y - x \][/tex]

So, the profit the woman makes is [tex]\( y - x \)[/tex] cedis.

This calculation is straightforward and involves basic subtraction. As an example, if the woman buys a basket of oranges for 50 cedis ([tex]\( x = 50 \)[/tex]) and sells it for 70 cedis ([tex]\( y = 70 \)[/tex]), her profit would be:
[tex]\[ P = y - x = 70 - 50 = 20 \text{ cedis} \][/tex]

I hope this clarifies the process! If you have further questions or need additional assistance, feel free to ask.