Introduction to the Concept of Average Price for Tea Mixtures

Understanding and calculating the average price of a mixture of different types of tea is crucial in the retail sector, especially for shopkeepers. This article will guide you through a thorough explanation on how to compute the average price per kilogram of a tea mixture, ensuring you can apply this knowledge effectively and accurately.

Understanding the Components of the Problem

Let’s explore an example where a shopkeeper blends two types of tea to create a bulk mixture. The first type of tea weighs 30 kilograms at a price of Rs. 8 per kilogram, while the second type weighs 10 kilograms at a price of Rs. 16 per kilogram. The goal is to determine the average price of this mixture per kilogram.

Step-by-Step Calculation of the Average Price

The first step in calculating the average price is determining the total cost of each type of tea.

Step 1: Calculating the Cost of Each Type of Tea

For the first type of tea (30 kg at Rs. 8 per kg):

Cost_1 30 kg times; 8 Rs/kg 240 Rs

For the second type of tea (10 kg at Rs. 16 per kg):

Cost_2 10 kg times; 16 Rs/kg 160 Rs

Step 2: Calculating the Total Cost of the Mixture

The total cost of the mixture is the sum of the costs of the individual types of tea.

Total Cost Cost_1 Cost_2 240 Rs 160 Rs 400 Rs

Step 3: Calculating the Total Weight of the Mixture

Add the weights of the individual types of tea to get the total weight of the mixture.

Total Weight 30 kg 10 kg 40 kg

Step 4: Determining the Average Price Per Kilogram

The average price per kilogram of the mixture is calculated by dividing the total cost by the total weight.

Average Price Total Cost / Total Weight 400 Rs / 40 kg 10 Rs/kg

Therefore, the average price of the mixture per kilogram is Rs. 10.

Summary and Application

By following these steps, you can accurately determine the average price of a tea mixture, ensuring that your pricing strategy reflects the true cost of the product. This method is straightforward and can be applied to a variety of scenarios involving the blending of different ingredients or products.

Conclusion

Mastering the technique of calculating the average price of a mixture is vital for businesses dealing with blended products. This guide provides a clear, step-by-step approach to solving such problems, making it easier to manage your inventory and pricing effectively.