Question

Vibhor joined as an area manager on Quick Corporation in the pay scale-of Rs. \(12.000-500-18,500 .\) Minimum how many years he has to work in the corporation to avail the salary of Rs. 18,500 per month : (a) 12 'yéars (b) 10 years (c) 13 years (d) 11 years

Short answer

Answer: 13 years.

Step-by-step solution

Identify pay scale information

Vibhor joined with a starting salary of Rs. 12,000 and his pay will increase by Rs. 500 every year until it reaches Rs. 18,500. The pay scale is represented by: 12,000-500-18,500.

Define the problem

Determine the minimum number of years Vibhor needs to work in the corporation to avail the salary of Rs. 18,500 per month.

Find the total increase in salary

We need to find the total salary increase between the starting salary and the target salary. Total increase in salary = Target salary - Starting salary Total increase in salary = 18,500 - 12,000

Calculate the total increase in salary

Now, calculate the total increase in salary between the starting salary and the target salary. Total increase in salary = 6,500

Determine the number of years

Since the salary increases by Rs. 500 per year, divide the total increase in salary by the annual salary increase to find the minimum number of years Vibhor needs to work to avail the salary of Rs. 18,500. Minimum number of years = total increase in salary / annual salary increase Minimum number of years = 6,500 / 500

Calculate the minimum number of years

Now, calculate the minimum number of years Vibhor needs to work to avail the salary of Rs. 18,500. Minimum number of years = 13 The correct answer is (c) 13 years.

Key concepts

Pay Scale Analysis

Understanding pay scale analysis is crucial when determining how salary progression occurs within an organization. This can typically be analyzed in a structured format like Vibhor's pay scale: Rs. 12,000-500-18,500. Here the first amount represents the starting salary, the second is the annual increment, and the third is the maximum salary achievable within that scale.

To conduct a pay scale analysis, one must consider the starting point, the incremental steps, and the endpoint. This involves a quantitative evaluation of how pay increases over time and the potential total earnings. For Vibhor's case, he starts with a salary of Rs. 12,000 and is promised an increase of Rs. 500 per annum until a salary cap of Rs. 18,500 is reached.

Such an analysis is paramount when projecting career earnings, understanding promotion timelines, and in negotiations for salary raises. It also aids in illustrating the long-term value in a given role or company.

Quantitative Aptitude

Quantitative aptitude encompasses the ability to handle numerical and mathematical calculations efficiently. It includes understanding numerical concepts, logical reasoning, and data interpretation skills. This is exemplified in the exercise with Vibhor's salary progression.

To solve it, one must first identify the relevant numerical data—such as the initial salary, the salary increment, and the target salary. Then, applying mathematical operations like subtraction and division, the minimum number of years to reach the target salary is determined.

In Vibhor's case: Total salary increase needed = Target salary \( Rs. 18,500 \) - Starting salary \( Rs. 12,000 \) \[ 6,500 \] Minimum number of years = Total increase in salary \( 6,500 \) / Annual increase \( 500 \) \[ 13 \]

It is this skill-set that enables individuals to perform a variety of mathematical tasks required in various academic and professional fields, including calculating salary increases as demonstrated here.

Problem-Solving Skills

Problem-solving skills are a critical component of everyday life and are particularly essential in academic and professional settings. This skill set involves understanding the problem, breaking it down into simpler parts, and then completing a series of steps to arrive at a solution.

In the exercise with Vibhor's salary increment, students must apply problem-solving skills to determine the number of years required to reach a specific salary target. This process includes interpreting the pay scale, calculating the total salary increase, and dividing by the yearly increment to find the number of years.

Furthermore, improving these skills can be achieved by practicing various steps such as:

• Clearly defining the goal or end point—in this case, the salary cap.
• Identifying the variables and constants, like the yearly increase and the starting salary.
• Applying logical reasoning to understand the increments in salary.
• Performing the necessary calculations meticulously.
• Checking and validating the solution with the given options.

By honing these problem-solving processes, students can effectively tackle complex questions, making them invaluable in academic pursuits and professional career development.