https://file.aiquickdraw.com/mathbot/file/1725969801449fj19qzbn.jpg

The question provided in the image is:

"A fruit vendor buys oranges at the rate of 5 for ₹40 and sells them at ₹9 per orange. Find his gain per cent."

### Solution:

1. **Cost Price (C.P.)**: 
   The fruit vendor buys 5 oranges for ₹40. Therefore, the cost price of one orange is:
   \[
   \text{C.P. of one orange} = \frac{₹40}{5} = ₹8
   \]

2. **Selling Price (S.P.)**: 
   The selling price of one orange is given as ₹9.

3. **Profit**: 
   The profit made on each orange is:
   \[
   \text{Profit} = \text{S.P.} - \text{C.P.} = ₹9 - ₹8 = ₹1
   \]

4. **Gain Percent**:
   To find the gain percent, we use the formula:
   \[
   \text{Gain \%} = \left(\frac{\text{Profit}}{\text{C.P.}}\right) \times 100 = \left(\frac{₹1}{₹8}\right) \times 100 = 12.5\%
   \]

So, the gain percentage is **12.5%**.

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Would you like more details on any step or have any questions? Here are some related questions you might explore:

1. If the vendor sold oranges at ₹7 each, what would the loss percentage be?
2. What would be the gain percentage if the vendor sold 10 oranges for ₹100?
3. How would the gain percentage change if the cost price increased to ₹10 per orange, but the selling price remained ₹9?
4. If the vendor wanted to make a 20% profit, at what price should he sell each orange?
5. How does the selling price affect the gain percentage for different products?

**Tip**: Always check both cost price and selling price carefully when calculating profit or loss to avoid simple mistakes.

A fruit vendor buys oranges at the rate of 5 for ₹40 and sells them at ₹9 per orange. Find his gain per cent.

Learn how to calculate the profit percentage for a fruit vendor who buys oranges at 5 for ₹40 and sells them at ₹9 each. This problem involves key mathematical concepts such as cost price, selling price, and percentage gain, making it suitable for students in Grades 6-8.

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