If A's salary is `20%` less than that of B, by how much percent B's salary is more than that of A ?

Options

A. `25%`
B. `20%`
C. `35%`
D. `32%`

Answer

To solve the problem, we need to determine how much percent B's salary is more than A's salary, given that A's salary is 20% less than B's salary.

### Step-by-Step Solution:

**Step 1: Define the Salaries**
Let B's salary be represented as \( B \).

Since A's salary is 20% less than B's, we can express A's salary as:
\[ A = B - 0.2B = 0.8B \]

**Step 2: Calculate the Difference in Salaries**
Now, we need to find out how much more B's salary is compared to A's salary. The difference between B's and A's salary is:
\[ B - A = B - 0.8B = 0.2B \]

**Step 3: Calculate the Percentage Increase**
To find out by what percentage B's salary is more than A's salary, we use the formula for percentage increase:
\[ \text{Percentage Increase} = \left( \frac{\text{Difference}}{\text{A's Salary}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage Increase} = \left( \frac{0.2B}{0.8B} \right) \times 100 \]

**Step 4: Simplify the Expression**
Now simplify the fraction:
\[ \text{Percentage Increase} = \left( \frac{0.2}{0.8} \right) \times 100 = 0.25 \times 100 = 25\% \]

### Final Answer:
B's salary is 25% more than A's salary.

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