Three Hundred Oranges Were Bought At $₹ 40$ Per Dozen And Sold At A Profit Of $₹ 25$. What Is The Selling Price Of The Oranges Per Dozen?
Introduction
In this article, we will delve into a simple yet intriguing mathematical problem that involves calculating the selling price of oranges per dozen. The problem states that 300 oranges were bought at ₹40 per dozen and sold at a profit of ₹25. Our objective is to determine the selling price of the oranges per dozen.
Understanding the Problem
To solve this problem, we need to understand the given information and the concept of profit. The cost price of the oranges is ₹40 per dozen, and the profit made on each dozen is ₹25. We are asked to find the selling price of the oranges per dozen.
Calculating the Cost Price
First, let's calculate the cost price of 300 oranges. Since the cost price is given per dozen, we need to convert the number of oranges to dozens. There are 12 oranges in a dozen, so:
300 oranges ÷ 12 = 25 dozens
Now, we can calculate the total cost price:
Cost price per dozen = ₹40 Total cost price = Cost price per dozen × Number of dozens = ₹40 × 25 = ₹1000
Calculating the Selling Price
Next, we need to calculate the selling price of the oranges per dozen. We are given that the profit made on each dozen is ₹25. To find the selling price, we add the profit to the cost price:
Selling price per dozen = Cost price per dozen + Profit per dozen = ₹40 + ₹25 = ₹65
Conclusion
In conclusion, the selling price of the oranges per dozen is ₹65. This is the price at which the oranges were sold, taking into account the profit made on each dozen.
Real-World Applications
This problem has real-world applications in business and commerce. When buying and selling goods, it's essential to calculate the cost price and selling price accurately to ensure profitability. This problem demonstrates the importance of mathematical calculations in everyday life.
Tips and Tricks
Here are some tips and tricks to help you solve similar problems:
- Always read the problem carefully and understand the given information.
- Convert units of measurement to a common unit (e.g., dozens to individual oranges).
- Calculate the total cost price and selling price separately.
- Add the profit to the cost price to find the selling price.
Frequently Asked Questions
Q: What is the selling price of the oranges per dozen? A: The selling price of the oranges per dozen is ₹65.
Q: What is the profit made on each dozen? A: The profit made on each dozen is ₹25.
Q: What is the cost price of the oranges per dozen? A: The cost price of the oranges per dozen is ₹40.
Conclusion
In this article, we calculated the selling price of the oranges per dozen using the given information. We converted the number of oranges to dozens, calculated the total cost price, and added the profit to find the selling price. This problem demonstrates the importance of mathematical calculations in everyday life and provides a real-world application of business and commerce.
Introduction
In our previous article, we calculated the selling price of oranges per dozen using the given information. However, we received several questions from readers who wanted to know more about the problem. In this article, we will address some of the frequently asked questions (FAQs) related to the problem.
Q&A
Q: What is the selling price of the oranges per dozen?
A: The selling price of the oranges per dozen is ₹65.
Q: What is the profit made on each dozen?
A: The profit made on each dozen is ₹25.
Q: What is the cost price of the oranges per dozen?
A: The cost price of the oranges per dozen is ₹40.
Q: How do I calculate the selling price if the profit is given as a percentage?
A: To calculate the selling price if the profit is given as a percentage, you need to follow these steps:
- Convert the percentage to a decimal by dividing by 100.
- Add the decimal value to 1 to get the selling price ratio.
- Multiply the cost price by the selling price ratio to get the selling price.
For example, if the profit is 25% and the cost price is ₹40, the selling price would be:
Selling price ratio = 1 + (25/100) = 1.25 Selling price = Cost price × Selling price ratio = ₹40 × 1.25 = ₹50
Q: How do I calculate the selling price if the number of dozens is not given?
A: To calculate the selling price if the number of dozens is not given, you need to follow these steps:
- Calculate the total cost price by multiplying the cost price per dozen by the number of dozens.
- Add the profit to the total cost price to get the total selling price.
- Divide the total selling price by the number of dozens to get the selling price per dozen.
For example, if the cost price per dozen is ₹40, the profit is ₹25, and the number of dozens is 20, the selling price per dozen would be:
Total cost price = Cost price per dozen × Number of dozens = ₹40 × 20 = ₹800 Total selling price = Total cost price + Profit = ₹800 + ₹25 = ₹825 Selling price per dozen = Total selling price ÷ Number of dozens = ₹825 ÷ 20 = ₹41.25
Q: Can I use this formula to calculate the selling price for any type of product?
A: Yes, you can use this formula to calculate the selling price for any type of product. However, you need to make sure that the cost price and profit are given in the same units (e.g., both in rupees).
Q: How do I calculate the profit percentage if I know the selling price and cost price?
A: To calculate the profit percentage if you know the selling price and cost price, you need to follow these steps:
- Subtract the cost price from the selling price to get the profit.
- Divide the profit by the cost price to get the profit ratio.
- Multiply the profit ratio by 100 to get the profit percentage.
For example, if the selling price is ₹50 and the cost price is ₹40, the profit percentage would be:
Profit = Selling price - Cost price = ₹50 - ₹40 = ₹10 Profit ratio = Profit ÷ Cost price = ₹10 ÷ ₹40 = 0.25 Profit percentage = Profit ratio × 100 = 0.25 × 100 = 25%
Conclusion
In this article, we addressed some of the frequently asked questions related to calculating the selling price of oranges per dozen. We provided step-by-step solutions to common problems and explained how to calculate the selling price using different formulas. We hope that this article has been helpful in clarifying any doubts you may have had.