Calculating the Cost per Litre of Milk: A Comprehensive Guide
When it comes to purchasing milk, it is often essential to understand the cost per litre to make informed decisions. In this article, we will explore how to calculate the cost of 26/7 litres of milk at a rate of Rs. 33/2 per litre. This will help you understand the process and apply similar calculations for other quantities. Let's dive in!
Understanding the Price and Calculations
The cost of milk per litre can be a crucial factor in making purchases, especially when you are dealing with fractional quantities. In this example, we are given that milk is priced at Rs. 33/2 per litre. The goal is to find the total cost for 26/7 litres of milk.
The Basic Calculation
When you multiply the number of litres by the cost per litre, you get the total cost. This can be mathematically expressed as:
(frac{26}{7} times frac{33}{2})
This simplifies to:
(frac{26 times 33}{7 times 2} frac{429}{14} 30.642857)
Breaking Down the Calculation
To solve this problem step-by-step, we can break it down as follows:
Step 1: Multiply the Numerators
(26 times 33 858)
Step 2: Multiply the Denominators
(7 times 2 14)
Step 3: Divide the Results
(frac{858}{14} 61.2857142...)
Conclusion
The total cost for 26/7 litres of milk at a rate of Rs. 33/2 per litre is approximately Rs. 61.29 when rounded to two decimal places.
Frequently Asked Questions (FAQs)
Q: How do you convert litres to fractions of a litre?
A: You can convert litres to fractions by expressing the quantity of milk as a fraction. For example, 26/7 litres represents a quantity that is 26 parts of 7 litres.
Q: What does it mean when milk is priced at 33/2 per litre?
A: It means that the price of milk is Rs. 33 divided by 2 per litre, which simplifies to Rs. 16.5 per litre.
Q: How can you make the calculations easier?
A: To simplify the calculations, you can always break down the problem into smaller steps. For instance, multiplying the numerators and denominators separately and then dividing the results.
Conclusion
Calculating the cost per litre of milk is a fundamental skill for managing grocery budgets. By understanding the process of converting quantities to fractions and simplifying the calculations, you can make more accurate and informed decisions. Whether you are a regular customer or someone who buys milk occasionally, these techniques will come in handy.