If the income of Neha is 5% more than that of Monica, then the income of Monica is what percentage less than that of Neha?

The correct option is Option 4: $4\frac{16}{21}\%$.

Step-by-step Explanation:

Let the income of Monica be ₹ 100.

Since the income of Neha is 5% more than that of Monica, we can calculate Neha's income as follows:

$\text{Neha's Income}=100+5=105$

Now, we need to find how much percentage Monica's income is less than Neha's income.

The difference between Neha's income and Monica's income is:

$\text{Difference}=105-100=5$

To find the required percentage difference with respect to Neha's income:

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

$\text{Percentage Less}=\left(\frac{5}{105}\right)\times 100$

Simplifying the fraction:

$\text{Percentage Less}=\frac{1}{21}\times 100=\frac{100}{21}\%$

Converting $\frac{100}{21}$ into a mixed fraction:

$100÷21=4\text{with a remainder of}16$

Therefore, the percentage by which Monica's income is less than Neha's income is:

$4\frac{16}{21}\%$