If income of A is 20% less than income of B. How much percentage is B's income more than income of A?

Question

Accepted Answer

To determine how much percentage B's income is more than A's income, we start by understanding the relationship between their incomes. According to the question, A's income is 20% less than B's income. Let's assume B's income is 100 units. Therefore, A's income would be 80 units (since 20% of 100 is 20, and 100 - 20 = 80).

Now, we need to find out how much more B's income is compared to A's income in percentage terms. The difference between B's income and A's income is 100 - 80 = 20 units.

To find the percentage increase of B's income over A's income, we use the formula:

$$
\text{Percentage Increase} = \left(\frac{\text{Difference}}{\text{A's Income}}\right) \times 100
$$

Substituting the values we have:

$$
\text{Percentage Increase} = \left(\frac{20}{80}\right) \times 100 = 25\%
$$

Therefore, B's income is 25% more than A's income, which corresponds to Option 2.

**Explanation for Other Options:**

1. **Option 1 (20%)**: This option is incorrect because it represents the percentage by which A's income is less than B's income, not the percentage by which B's income is more than A's income.

2. **Option 3 (16$\frac{2}{3}\%$)**: This option is incorrect because it does not accurately reflect the percentage increase of B's income over A's income. The calculation shows that the correct percentage is 25%.

3. **Option 4 (33$\frac{1}{3}\%$)**: This option is incorrect because it overestimates the percentage increase. The correct calculation shows that B's income is 25% more than A's income.

In conclusion, the correct answer is Option 2, as B's income is 25% more than A's income.