If A's salary is 40% less than that of B, then how much percent is B's salary more than that of A?

Options

A. `33 (1)/(3)`
B. `66 (2)/(3)`
C. `33 (2)/(3)`
D. `66 (1)/(3)`

Answer

To solve the problem, we need to find out how much percent B's salary is more than A's salary, given that A's salary is 40% less than B's salary.

### Step-by-step Solution:

1. **Assume B's Salary**:
Let's assume B's salary is \( B = 100 \) (this is a convenient choice to simplify calculations).

2. **Calculate A's Salary**:
Since A's salary is 40% less than B's salary, we can calculate A's salary as follows:
\[ A = B - 40\% \text{ of } B = 100 - 40 = 60 \]

3. **Find the Difference in Salaries**:
Now, we need to find out how much more B's salary is compared to A's salary. The difference is:
\[ \text{Difference} = B - A = 100 - 60 = 40 \]

4. **Calculate the Percentage Increase**:
To find out how much percent B's salary is more than A's salary, we use the formula:
\[ \text{Percentage Increase} = \left( \frac{\text{Difference}}{A} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage Increase} = \left( \frac{40}{60} \right) \times 100 \]

5. **Simplify the Calculation**:
Simplifying the fraction:
\[ \frac{40}{60} = \frac{2}{3} \]
Now, multiplying by 100:
\[ \text{Percentage Increase} = \frac{2}{3} \times 100 = \frac{200}{3} \approx 66.67\% \]

### Final Answer:
B's salary is approximately \( 66.67\% \) more than A's salary.