Sure, let's go through the steps to increase £180 by 10%.
### Step-by-Step Solution
1. Initial Amount:
[tex]\( £180 \)[/tex]
2. Percentage Increase:
[tex]\( 10\% \)[/tex]
3. Calculate the Increase Amount:
To find out how much is the increase, we need to calculate 10% of £180.
[tex]\[
\text{Increase Amount} = \frac{10}{100} \times 180 = 0.10 \times 180 = £18
\][/tex]
4. Calculate the Final Amount:
After calculating the increase, we add this amount to the initial amount to find the final amount.
[tex]\[
\text{Final Amount} = \text{Initial Amount} + \text{Increase Amount} = £180 + £18 = £198
\][/tex]
Therefore, the increase amount is [tex]\( £18 \)[/tex] and the final amount after the increase is [tex]\( £198 \)[/tex].
