Dividing Rs 12560 According to the Ratio 3:2:5

In this article, we will explore the concept of ratio and proportion as applied to a real-world problem. Specifically, we will determine how to divide Rs 12560 among three individuals, A, B, and C, in the ratio of 3:2:5.

Understanding the Ratio and Proportion Concept

The ratio 3:2:5 represents a way of distributing a quantity among different parts or individuals in a proportional manner. In this case, we are tasked with dividing Rs 12560 into three shares according to this given ratio.

Step-by-Step Calculation

Identify the Total Parts of the Ratio:
The ratio 3:2:5 means that the total number of parts is 3 2 5 10 parts. Each part of the total Rs 12560 will be represented by x. Determine the Value of Each Part:
To find the value of each part, we divide the total amount by the total number of parts: x 12560 / 10 Rs 1256. Calculate the Share of Each Individual:
- A’s share is 3 parts, so A will get 3x 3 × 1256 Rs 3768. - B’s share is 2 parts, so B will get 2x 2 × 1256 Rs 2512. - C’s share is 5 parts, so C will get 5x 5 × 1256 Rs 6280.

Alternative Methods for the Calculation

Let's walk through a couple of alternative methods to solve the same problem to understand the concept better.

Method 1:

Let the total amount be divided into 1. Then, A’s share 3x, B’s share 2x, and C’s share 5x. We know that 1 Rs 12560, so x 12560 / 10 Rs 1256. Therefore, B’s share 2x 2 × 1256 Rs 2512.

Method 2: Using a different approach, let's solve it step by step.

Let x be the unit value of each part. Then A, B, and C share the money in parts 3, 2, and 5 respectively. The total parts are 3 2 5 10. 10 parts Rs 12560, so 1 part 12560 / 10 Rs 1256. B’s share is 2 parts, so B will get 2 × 1256 Rs 2512.

Method 3:

Let x be the unit value of each part. Then, A : B : C 3 : 2 : 5. The total parts are 3 2 5 10 parts. 10 parts Rs 12560, so 1 part 12560 / 10 Rs 1256. B’s share is 2 parts, so B will get 2 × 1256 Rs 2512.

Conclusion

Using the ratio 3:2:5, we have successfully divided Rs 12560 among A, B, and C. B’s share turns out to be Rs 2512. Understanding and applying the concept of ratio and proportion is crucial in solving many real-world problems, especially in finance and distribution scenarios.

Keywords: ratio and proportion, dividing money, solving ratios