Percentage

Step 1: Understand the Growth
The sales increase by 20% from 2021 to 2022, and by 25% from 2022 to 2023. The initial sales in 2021 are ₹10 lakhs. We need to apply these percentage increases sequentially.

Step 2: Calculate Sales in 2022
A 20% increase means the 2022 sales are 120% of the 2021 sales: $%5Ctext%7BSales%7D_%7B2022%7D%20%3D%20%5Ctext%7BSales%7D_%7B2021%7D%20%5Ctimes%20(1%20%2B%200.20)$ Given $%5Ctext%7BSales%7D_%7B2021%7D%20%3D%2010%20%5C%2C%20%5Ctext%7Blakhs%7D$ : $%5Ctext%7BSales%7D_%7B2022%7D%20%3D%2010%20%5Ctimes%201.20%20%3D%2012%20%5C%2C%20%5Ctext%7Blakhs%7D$

Step 3: Calculate Sales in 2023
A 25% increase from 2022 to 2023 means the 2023 sales are 125% of the 2022 sales: $%5Ctext%7BSales%7D_%7B2023%7D%20%3D%20%5Ctext%7BSales%7D_%7B2022%7D%20%5Ctimes%20(1%20%2B%200.25)$ $%5Ctext%7BSales%7D_%7B2023%7D%20%3D%2012%20%5Ctimes%201.25$ $1.25%20%3D%20%5Cfrac%7B5%7D%7B4%7D%2C%20%5Cquad%20%5Ctext%7Bso%7D%20%5Cquad%2012%20%5Ctimes%20%5Cfrac%7B5%7D%7B4%7D%20%3D%20%5Cfrac%7B12%20%5Ctimes%205%7D%7B4%7D%20%3D%20%5Cfrac%7B60%7D%7B4%7D%20%3D%2015$ $%5Ctext%7BSales%7D_%7B2023%7D%20%3D%2015%20%5C%2C%20%5Ctext%7Blakhs%7D$

Step 4: Alternative Method (Compound Growth) The total growth factor over the two years is: $(1%20%2B%200.20)%20%5Ctimes%20(1%20%2B%200.25)%20%3D%201.20%20%5Ctimes%201.25$ $1.20%20%5Ctimes%201.25%20%3D%201.20%20%5Ctimes%20%5Cfrac%7B5%7D%7B4%7D%20%3D%20%5Cfrac%7B6%7D%7B4%7D%20%3D%201.5$ $%5Ctext%7BSales%7D_%7B2023%7D%20%3D%20%5Ctext%7BSales%7D_%7B2021%7D%20%5Ctimes%201.5%20%3D%2010%20%5Ctimes%201.5%20%3D%2015%20%5C%2C%20%5Ctext%7Blakhs%7D$ This confirms the result.

Step 5: Final Answer The sales in 2023 are: $%5Cboxed%7B15%20%5C%2C%20%5Ctext%7Blakhs%7D%7D$

High-Yield Trend

Chapter Questions
2 MCQs

Official Solution

Official Solution

Percentage

High-Yield Trend

Chapter Questions 2 MCQs

Official Solution

Official Solution

Chapter Questions
2 MCQs