Question

Swathi starts her job with certain monthly salary and earns a fixed increment every year. If her salary was Rs 22500 per month after 6 years of service and Rs 30000 per month after 11 years of service. Find her salary after 8 years of service (in $\mathrm{Rs}$ ). (1) 24000 (2) 25500 (3) 26000 (4) 24500

Name: Problem 24, Chapter 3: The IIT Foundation series of Mathematics Class
Uploaded: 2021-08-27T18:36:27-08:00
Duration: 1 min 46 s
Channel: Nida Wasiq
Description: Swathi starts her job with certain monthly salary and earns a fixed increment every year. If her salary was Rs 22500 per month after 6 years of service and Rs 30000 per month after 11 years of service. Find her salary after 8 years of service (in Rs ). (1) 24000 (2) 25500 (3) 26000 (4) 24500

   Swathi starts her job with certain monthly salary and earns a fixed increment every year. If her salary was Rs 22500 per month after 6 years of service and Rs 30000 per month after 11 years of service. Find her salary after 8 years of service (in $\mathrm{Rs}$ ).
(1) 24000
(2) 25500
(3) 26000
(4) 24500

The IIT Foundation series of Mathematics Class

Trishna Knowledge… 5th Edition

Chapter 3, Problem 24

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Solved by Expert Nida Wasiq

08/27/2021

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Swathi starts her job with certain monthly salary and earns a fixed increment every year. If her salary was Rs 22500 per month after 6 years of service and Rs 30000 per month after 11 years of service. Find her salary after 8 years of service (in $\mathrm{Rs}$ ). (1) 24000 (2) 25500 (3) 26000 (4) 24500

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Key Concepts

Arithmetic Progression

An arithmetic progression is a sequence where each term is obtained by adding a constant value, known as the common difference, to the previous term. This mathematical concept is commonly used for modeling situations where quantities increase or decrease by a fixed amount at regular intervals, such as a salary that increases by the same amount each year.

Linear Equations

A linear equation represents the relationship between two variables that change at a constant rate relative to each other. In contexts like salary increments, this relationship helps in determining unknown values by setting up equations based on known data points, thereby allowing calculation of any term in the sequence, such as the salary after a given number of years.

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