How to Calculate the Rate for 750 Kilograms of Tomatoes When the Price is Given Per Kilogram
Understanding the relationship between price and quantity is crucial in various business contexts, especially in agriculture. This article will guide you through the process of calculating the rate for 750 kilograms of tomatoes when the price is given per kilogram. We'll explore the concept of direct proportion and provide a step-by-step explanation to help you solve similar problems.
Understanding Direct Proportion
Direct proportion is a relationship between two variables where an increase in one variable leads to a proportional increase in the other. In the context of price and quantity, this means that if the price per kilogram of a product decreases, the total cost for a larger quantity will also decrease.
Calculating the Rate for 750 Kilograms of Tomatoes
Given that the price of 1 kilogram of tomatoes is Rs. 80, we need to calculate the rate for 750 kilograms of tomatoes. The key to solving this problem lies in understanding the concept of direct proportion and applying it step-by-step.
Using Proportional Calculation
Let's break down the problem into steps:
Identify the given quantities: Price for 1 kilogram of tomatoes Rs. 80 Quantity required 750 kilogramsNow, to find the total cost for 750 kilograms, we can use the following formula based on direct proportion:
Total cost (Price per kilogram) × (Number of kilograms)
Plugging in the values:
Total cost 80 × 750
Therefore, the total cost for 750 kilograms of tomatoes is:
Rs. 60,000
Alternative Method: Direct Proportionality Method
We can also solve this problem using the concept of direct proportion:
If 1 kg of tomatoes costs Rs. 80, then 750 kg will cost 750 times Rs. 80.
Calculating this:
750 × 80 Rs. 60,000
Understanding the Calculation in Detail
Let's revisit the initial calculations to ensure clarity:
Rate for 750 kg of tomatoes 750 × 80 Rs. 60,000
Exploring the Relationship Through Quilals
A quintal is a unit of measure used primarily in agriculture, equal to 100 kilograms. If we convert 750 kilograms to quintals:
750 kg 7.5 quintals
Given that 1 quintal of tomatoes costs Rs. 8,000, we can calculate:
7.5 quintals × Rs. 8,000 per quintal Rs. 60,000
Conclusion
When calculating the cost of 750 kilograms of tomatoes at a rate of Rs. 80 per kilogram, the rate for 750 kg is Rs. 60,000. This calculation is based on the principle of direct proportion, where the total cost increases linearly with the quantity of the product.
Additional Resources and Further Reading
For a deeper understanding of similar problems and concepts, consider exploring:
Math Is Fun: Proportions Khan Academy: Ratios and Proportions Blog: Lesson Example: Ratios and ProportionsBy understanding and applying these concepts, you can master the art of price and quantity calculations in various scenarios.