Question

If Anil's salary is \(20\%\) less than that of Rama, then by what percent is Rama's salary more than that of Anil?

• A. \(20\%\)
• B. \(25\%\)
• C. \(15\%\)
• D. \(30\%\)

Answer 1

The Correct Option is B

To find the percentage by which Rama's salary is more than Anil's, let's assume the following:
Anil's salary is \((1-0.2) \times \text{Rama's salary} = 0.8 \times \text{Rama's salary}\).
If we denote Rama's salary by \(R\), then Anil's salary is \(0.8R\). Now, we need to calculate the percentage increase from Anil's salary to Rama's salary.

The difference in their salaries is:
\[R - 0.8R = 0.2R\]
To find how much more this is as a percentage of Anil's salary, we use the formula for percentage increase:
\[\text{Percentage Increase} = \left(\frac{\text{Increase}}{\text{Original Amount}}\right) \times 100\]
Substituting the given values:
\[\text{Percentage Increase} = \left(\frac{0.2R}{0.8R}\right) \times 100 = \frac{0.2}{0.8} \times 100 = 0.25 \times 100 = 25\%\]
Thus, Rama's salary is 25% more than Anil's salary.