A's income is 25% more than B's income. B's income in terms of A's income is

Options

A. `75%`
B. `80%`
C. `90%`
D. `96%`

Answer

To find B's income in terms of A's income, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between A's and B's income**:
- We know that A's income is 25% more than B's income. This means if we denote B's income as \( B \), then A's income \( A \) can be expressed as:
\[ A = B + 0.25B = 1.25B \]

2. **Express B's income in terms of A's income**:
- From the equation \( A = 1.25B \), we can solve for \( B \):
\[ B = \frac{A}{1.25} \]

3. **Convert the fraction to a percentage**:
- To express \( B \) as a percentage of \( A \), we can multiply the fraction by 100:
\[ B = \frac{A}{1.25} = A \times \frac{1}{1.25} = A \times \frac{100}{125} \]

4. **Simplify the fraction**:
- Simplifying \( \frac{100}{125} \):
\[ \frac{100}{125} = \frac{4}{5} = 0.8 \]
- Therefore, \( B = 0.8A \).

5. **Convert to percentage**:
- To express \( B \) as a percentage of \( A \):
\[ B = 0.8A = 80\% \text{ of } A \]

### Final Answer:
B's income in terms of A's income is **80%**.

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