Calculating Applied Math: Pawan, Raman, and Ranjit’s Monthly Salaries

Introduction

This article delves into the application of basic algebra and percentage calculations to solve a practical problem. We will follow the steps needed to find the monthly salaries of Pawan, Raman, and Ranjit based on the given conditions. Understanding such calculations is crucial for various real-life scenarios, including financial planning and budgeting.

Understanding the Problem

Given the monthly salary relationships among three individuals, Pawan, Raman, and Ranjit:

Two-thirds of Ranjit’s monthly salary is equal to Raman’s monthly salary. Raman’s monthly salary is 30% more than Pawan’s monthly salary. Pawan’s monthly salary is Rs. 32,000.

The objective is to determine the monthly salary of Ranjit, given the information about Pawan and Raman's salaries.

Step-by-Step Calculation

Calculating Raman’s Monthly Salary

First, we calculate Raman's monthly salary. According to the given information:

Raman's monthly salary Pawan's salary 30% of Pawan's salary

Let Pawan's salary x Rs. 32,000

Raman's salary 1.3x 1.3 × 32,000 Rs. 41,600

Calculating Ranjit’s Monthly Salary

Next, we use the information that two-thirds of Ranjit's monthly salary is equal to Raman's monthly salary (Rs. 41,600).

Let Ranjit's monthly salary y

Given that (frac{2}{3}y 41,600)

To find y, we solve the equation:

y (41,600 times frac{3}{2})

y (41,600 times 1.5 62,400)

Hence, Ranjit’s monthly salary is Rs. 62,400.

Conclusion

By breaking down the problem logically and applying basic mathematical principles, we determined:

Pawan’s monthly salary: Rs. 32,000 Raman’s monthly salary: Rs. 41,600 Ranjit’s monthly salary: Rs. 62,400

Understanding these calculations can help in financial planning and budget management, ensuring accurate financial forecasting.

Additional Information and Related Queries

For further exploration, you might find it useful to explore other similar problems involving algebraic equations and percentage calculations. This skill is not only fundamental in mathematics but also crucial in fields such as finance, economics, and data analysis.

Keywords:

monthly salary, algebraic calculation, percentage calculation