To determine the price of the shirt in 2023 given the price increases in 2022 and 2023, we can break the problem down into a series of steps.
### Step 1: Determine the price increase for 2022.
The initial price of the shirt in 2021 is [tex]\( 8000 \)[/tex]. The price increases by 20% in 2022.
1. Calculate the increase:
[tex]\[
\text{Increase in 2022} = \text{initial price} \times \frac{20}{100} = 8000 \times 0.20 = 1600
\][/tex]
2. Add the increase to the initial price to find the price in 2022:
[tex]\[
\text{Price in 2022} = \text{initial price} + \text{increase in 2022} = 8000 + 1600 = 9600
\][/tex]
### Step 2: Determine the price increase for 2023.
The price increases by an additional 10% in 2023 based on the 2022 price.
1. Calculate the increase:
[tex]\[
\text{Increase in 2023} = \text{price in 2022} \times \frac{10}{100} = 9600 \times 0.10 = 960
\][/tex]
2. Add the increase to the 2022 price to find the price in 2023:
[tex]\[
\text{Price in 2023} = \text{price in 2022} + \text{increase in 2023} = 9600 + 960 = 10560
\][/tex]
### Final Answer
Thus, the price of the shirt in 2023, considering the given increases, is [tex]\( \boxed{10560} \)[/tex].
