Dividing a Sum of Money According to a Given Ratio

In real-world scenarios, such as dividing assets or expenses among individuals, understanding how to distribute a sum of money according to a given ratio is a valuable skill. This guide will walk you through an example where 25000 is divided between Ayesha Ali and Osama based on the ratio 2:3:5.

Understanding the Ratio

A ratio is a way of expressing the relative sizes of two or more values. In the example given, we are tasked with dividing 25000 into parts according to the ratio 2:3:5. This means that for every 2 parts Ayesha Ali gets, Osama gets 3 parts, and the remaining 5 parts are for another individual (not specified in the problem, but included in the total parts).

Step-by-Step Calculation

Calculate the Total Ratio Parts:r r Taking the sum of the ratio numbers: 2 3 5 10 parts.r r Value of One Part:r r The total value is 25000, so each part is: 25000 ÷ 10 2500.r r Calculate Each Person’s Share:r r Ayesha's Share (2 parts): 2 × 2500 5000.r Ali's Share (3 parts): 3 × 2500 7500.r Osama's Share (5 parts): 5 × 2500 12500.r r Verify the Total:r r The sum of 5000 7500 12500 should equal 25000. Indeed, 5000 7500 12500 25000.r r

Summary of Shares

Ayesha: 5000 Ali: 7500 Osama: 12500

Common Applications and Practical Uses

This method of dividing money according to a given ratio can be applied in various fields, such as:

Allocating profits in a business partnership. Dividing inheritance among heirs. Sharing costs among individuals. Distributing gifts or donations.

Understanding and mastering the technique of dividing a sum of money according to a given ratio is an essential skill, especially for those managing financial resources or involved in collaborative projects.