Certainly! Let's go through the process of decreasing £262 by 39% using the multiplier method, step by step.
### Step 1: Understand the problem
We need to decrease an amount of £262 by 39%.
### Step 2: Calculate the multiplier
To find the multiplier for a percentage decrease, we use the formula:
[tex]\[ \text{Multiplier} = \frac{100 - \text{Percentage Decrease}}{100} \][/tex]
Here, the percentage decrease is 39%. So, we need to calculate:
[tex]\[ \text{Multiplier} = \frac{100 - 39}{100} \][/tex]
### Step 3: Perform the calculation for the multiplier
[tex]\[ \text{Multiplier} = \frac{61}{100} = 0.61 \][/tex]
### Step 4: Apply the multiplier to the initial amount
To find the decreased amount, multiply the initial amount (£262) by the multiplier (0.61):
[tex]\[ \text{Decreased Amount} = 262 \times 0.61 \][/tex]
### Step 5: Perform the multiplication
[tex]\[ \text{Decreased Amount} = 159.82 \][/tex]
### Step 6: Conclusion
After decreasing £262 by 39%, the final amount is £159.82.
So, the step-by-step solution using the multiplier method leads us to the result that the decreased amount is £159.82.
