Answer :
Certainly! To increase £88 by 14% using the multiplier method, follow these steps:
1. Understand the Percentage Increase:
- A 14% increase means that for every £100, you would add £14. We need to convert this percentage into a form that can be used for multiplication.
2. Convert the Percentage to a Multiplier:
- To do this, first convert the percentage (14%) to a decimal.
[tex]\[ \text{Percentage as a decimal} = \frac{14}{100} = 0.14 \][/tex]
- Next, add this decimal to 1 (since 1 represents the original amount, or 100%).
[tex]\[ \text{Multiplier} = 1 + 0.14 = 1.14 \][/tex]
3. Multiply the Initial Amount by the Multiplier:
- Now, take the initial amount, £88, and multiply it by the multiplier.
[tex]\[ \text{New Amount} = £88 \times 1.14 \][/tex]
4. Calculate the New Amount:
- Performing the multiplication gives us:
[tex]\[ \text{New Amount} = 88 \times 1.14 = 100.32 \][/tex]
5. Present the Multiplier and New Amount:
- The multiplier used is 1.14.
- The new amount after increasing £88 by 14% is £100.32.
So, by increasing £88 by 14% using the multiplier method, we get a new amount of £100.32.
1. Understand the Percentage Increase:
- A 14% increase means that for every £100, you would add £14. We need to convert this percentage into a form that can be used for multiplication.
2. Convert the Percentage to a Multiplier:
- To do this, first convert the percentage (14%) to a decimal.
[tex]\[ \text{Percentage as a decimal} = \frac{14}{100} = 0.14 \][/tex]
- Next, add this decimal to 1 (since 1 represents the original amount, or 100%).
[tex]\[ \text{Multiplier} = 1 + 0.14 = 1.14 \][/tex]
3. Multiply the Initial Amount by the Multiplier:
- Now, take the initial amount, £88, and multiply it by the multiplier.
[tex]\[ \text{New Amount} = £88 \times 1.14 \][/tex]
4. Calculate the New Amount:
- Performing the multiplication gives us:
[tex]\[ \text{New Amount} = 88 \times 1.14 = 100.32 \][/tex]
5. Present the Multiplier and New Amount:
- The multiplier used is 1.14.
- The new amount after increasing £88 by 14% is £100.32.
So, by increasing £88 by 14% using the multiplier method, we get a new amount of £100.32.
