If 60% of A's income is equal to 75% of B's income, then B's in come is equal to x% of A's income. The value of xis:

Options

A. 70
B. 60
C. 80
D. 90

Answer

To solve the problem, we need to establish the relationship between A's income and B's income based on the information provided.

### Step-by-Step Solution:

1. **Set up the equation based on the information given:**
We know that 60% of A's income is equal to 75% of B's income. We can express this mathematically:
\[ 0.6A = 0.75B \]

2. **Rearrange the equation to express B in terms of A:**
To find B's income in terms of A's income, we can rearrange the equation:
\[ B = \frac{0.6A}{0.75} \]

3. **Simplify the fraction:**
We can simplify \(\frac{0.6}{0.75}\):
\[ B = \frac{0.6}{0.75}A = \frac{60}{75}A = \frac{4}{5}A \]

4. **Convert B's income into percentage of A's income:**
Now, we need to express B's income as a percentage of A's income:
\[ B = \frac{4}{5}A \]
To convert this into a percentage, we multiply by 100:
\[ \text{Percentage of A's income} = \left(\frac{4}{5} \times 100\right) = 80\% \]

5. **Conclusion:**
Therefore, B's income is equal to 80% of A's income. Thus, the value of \(x\) is:
\[ x = 80 \]

### Final Answer:
The value of \(x\) is 80.