Calculating Profit Percent from Orange Sales: A Real-Life Business Problem

A street vendor bought 10 dozen oranges at 30 per dozen. To find out the vendor's profit or loss percentage, we need to follow the steps carefully. Here's a detailed explanation of how to calculate the profit percentage.

Determining the Cost Price (C.P.) and Average Selling Price (S.P.)

The vendor bought 10 dozen oranges at a cost price of 30 per dozen. Therefore, the total cost price (C.P.) is calculated as follows:

Total Cost Price (C.P.) 30 × 10 Rs. 300

Selling the Oranges

The vendor sold half of the oranges at Rs. 4 each and the other half at Rs. 3 each. We break it down into the following steps:

Cost Price (C.P.) for 1 orange: Calculate the total selling price for the oranges sold at Rs. 4: 60 oranges at Rs. 4 each 60 × 4 Rs. 240 Calculate the total selling price for the oranges sold at Rs. 3: 60 oranges at Rs. 3 each 60 × 3 Rs. 180 Total Selling Price: 240 180 Rs. 420

Calculating Profit

To find the profit, we subtract the total cost price from the total selling price:

Profit Total Selling Price - Total Cost Price

Profit 420 - 300 Rs. 120

Profit Percentage

The profit percentage is calculated by dividing the profit by the cost price and then multiplying by 100 to obtain a percentage:

Profit Percentage (Profit / Total Cost Price) × 100

Profit Percentage (120 / 300) × 100 40%

Summary of the Calculations

1. **C.P. of 1 Orange**: The cost price of 1 orange is 30/12 Rs. 2.5.

2. **Use Alligation for Average Selling Price**: The average selling price (S.P.) is 3.5, which is the weighted average of 4 and 3.

3. **Calculating Profit for 1 Orange**: The profit for 1 orange is 3.5 - 2.5 Rs. 1, which is 40% of the cost price (10/25 2/5 40%).

Conclusion

The street vendor's profit percentage from selling 10 dozen oranges is 40%. This detailed breakdown helps us understand the calculations involved in determining the profit from selling goods and the impact of varying selling prices on overall profitability.

Note: All calculations are based on the given problem and assumptions. Variations may exist based on specific market conditions or additional factors.