Calculating the Cost of Apples: A Step-by-Step Guide

Calculating the Cost of Apples: A Step-by-Step Guide

Understanding how to calculate the cost of apples can be quite beneficial, especially if you are a frequent shopper or a trader. In this article, we'll walk you through a straightforward process to determine the cost of a different quantity of apples based on a given price. We'll use the example of a 2.25 kg of apples costing Rs 70 to find out the cost of 4 kg of apples. This guide is essential for applying mathematical skills to real-life scenarios and ensures you save money every time you shop for apples.

Converting Weight to Fractions

The first step in solving this problem is to convert the given weight from a mixed number into a fraction. This is done to make the calculation easier and more accurate.

Step 1: Convert 2 1/4 kg to a fraction

The weight of apples is given as 2 1/4 kg, which can be converted to an improper fraction as follows:

2 1/4 kg 2 1/4 (2 * 4 1)/4 (8 1)/4 9/4 kg

Calculating the Cost Per Kilogram

Once the weight is converted to a fraction, we can find the cost per kilogram by dividing the total cost by the weight in kilograms.

Step 2: Calculate the cost per kilogram

Given that the cost for 9/4 kg of apples is Rs 70, we can calculate the cost per kilogram as follows:

Cost per kg 70 Rs / (9/4 kg) 70 Rs * (4/9 kg-1) (70 * 4) / 9 Rs/kg ≈ 31.11 Rs/kg

Calculating the Cost for 4 kg of Apples

Now that we have the cost per kilogram, we can easily calculate the cost for 4 kg of apples.

Step 3: Calculate the cost for 4 kg

To find the cost for 4 kg of apples, we multiply the cost per kilogram by 4:

Cost for 4 kg 4 kg * 31.11 Rs/kg ≈ 124.44 Rs

Summary and Additional Tips

Therefore, the cost of 4 kg of apples is approximately Rs 124.44. This process can be applied to any similar problems involving the calculation of prices based on different weights.

Key Takeaways:

Converting mixed numbers to fractions simplifies calculations. Dividing the total cost by the weight in kilograms gives the cost per kilogram. Multiplying the cost per kilogram by the desired weight gives the final cost.

By following these steps, you can accurately calculate the cost of apples or any other items. This skill is particularly useful in grocery shopping, budgeting, and trading. For more such examples and exercises, refer to the resources listed in the practical section below.

Practical Section

To further practice and enhance your understanding, try solving the following problems:

The cost of 3 1/2 kg of bananas is Rs 50. Calculate the cost of 5 kg of bananas. The cost of 2.75 kg of oranges is Rs 60. Calculate the cost of 6 kg of oranges.

These problems will help you master the concept of cost calculation and improve your mathematical skills. Happy calculating!