If the income of A is 20% less than income of B, then how much income of B is more than income of A ?

Question

Accepted Answer

To determine how much the income of B is more than the income of A, given that A's income is 20% less than B's income, we can use the following explanation:

Let's assume the income of B is $ x $.

Since A's income is 20% less than B's income, A's income would be:
$$ A = x - 0.2x = 0.8x $$

Now, we need to find out how much more B's income is compared to A's income. This can be calculated as:
$$ \text{Difference} = x - 0.8x = 0.2x $$

To find out how much more B's income is in terms of A's income, we calculate the ratio of the difference to A's income:
$$ \text{Ratio} = \frac{0.2x}{0.8x} = \frac{0.2}{0.8} = 0.25 $$

Thus, B's income is 25% more than A's income. Therefore, the correct answer is Option 2: 0.25.

**Explanation of why other options are incorrect:**

1. **Option 1 (0.2):** This option suggests that B's income is 20% more than A's income. However, as calculated, the correct percentage is 25%, not 20%. Therefore, this option is incorrect.

2. **Option 3 (0.3):** This option suggests that B's income is 30% more than A's income. Our calculation shows that the correct percentage is 25%, not 30%. Hence, this option is incorrect.

3. **Option 4 (0.35):** This option suggests that B's income is 35% more than A's income. Again, our calculation indicates that the correct percentage is 25%, not 35%. Therefore, this option is incorrect.

In conclusion, the correct answer is Option 2: 0.25, as it accurately represents the percentage by which B's income is more than A's income.