If A's salary is 80% of B's salary, then B's salary is what percentage of A's salary?

Options

A. 125
B. 120
C. 110
D. 140

Answer

To solve the problem step by step, let's define the salaries of A and B mathematically.

### Step 1: Define B's Salary
Let B's salary be represented as \( B = x \).

### Step 2: Calculate A's Salary
According to the problem, A's salary is 80% of B's salary. Therefore, we can express A's salary as:
\[ A = 0.8 \times B = 0.8 \times x \]

### Step 3: Find the Ratio of B's Salary to A's Salary
We need to find what percentage B's salary is of A's salary. This can be expressed as:
\[ \text{Percentage} = \left( \frac{B}{A} \right) \times 100 \]

Substituting the values we have:
\[ \text{Percentage} = \left( \frac{x}{0.8x} \right) \times 100 \]

### Step 4: Simplify the Expression
The \( x \) in the numerator and denominator cancels out:
\[ \text{Percentage} = \left( \frac{1}{0.8} \right) \times 100 \]

### Step 5: Calculate the Value
Now, calculate \( \frac{1}{0.8} \):
\[ \frac{1}{0.8} = 1.25 \]
Thus,
\[ \text{Percentage} = 1.25 \times 100 = 125\% \]

### Conclusion
B's salary is 125% of A's salary.