If A is 40% more than B, then B is how much percent less than A?

Options

A. 28.57
B. 40
C. 33.33
D. 66.66

Answer

To solve the problem, we need to determine how much percent B is less than A, given that A is 40% more than B.

### Step-by-step Solution:

1. **Define the relationship between A and B**:
Since A is 40% more than B, we can express this relationship mathematically. Let's denote B as \( B \).

\[ A = B + 0.4B = 1.4B \]

2. **Assume a value for B**:
For simplicity, let's assume \( B = 100 \). This makes our calculations easier.

\[ A = 1.4 \times 100 = 140 \]

3. **Calculate how much less B is than A**:
Now we find the difference between A and B.

\[ \text{Difference} = A - B = 140 - 100 = 40 \]

4. **Calculate the percentage that B is less than A**:
To find out how much percent B is less than A, we use the formula:

\[ \text{Percentage less} = \left( \frac{\text{Difference}}{A} \right) \times 100 \]

Substituting the values we have:

\[ \text{Percentage less} = \left( \frac{40}{140} \right) \times 100 \]

5. **Simplify the fraction**:
Simplifying \( \frac{40}{140} \):

\[ \frac{40}{140} = \frac{2}{7} \]

6. **Convert to percentage**:
Now, converting \( \frac{2}{7} \) into a percentage:

\[ \frac{2}{7} \approx 0.2857 \quad \text{(approximately)} \]

Therefore, as a percentage:

\[ 0.2857 \times 100 \approx 28.57\% \]

### Final Answer:
B is approximately **28.57% less than A**.

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