Sure, let's go through the steps to increase £88 by 14% using the multiplier method.
1. Identify the initial amount and the percentage increase:
- Initial amount: £88
- Percentage increase: 14%
2. Convert the percentage increase to a decimal:
To convert a percentage to a decimal, you divide by 100.
[tex]\[
\text{Decimal form of 14%} = \frac{14}{100} = 0.14
\][/tex]
3. Calculate the multiplier:
The multiplier is found by adding 1 to the decimal form of the percentage increase.
[tex]\[
\text{Multiplier} = 1 + 0.14 = 1.14
\][/tex]
4. Apply the multiplier to the initial amount:
Multiply the initial amount by the multiplier to find the new amount after the increase.
[tex]\[
\text{New amount} = 88 \times 1.14 = 100.32
\][/tex]
5. Conclusion:
- The multiplier is 1.14
- The new amount after increasing £88 by 14% is £100.32
Thus, by using the multiplier method, the initial amount of £88 increases to £100.32 when increased by 14%.