Question

The salary of Raju and Ram is 20% and 30% less than the salary of Saroj respectively. By what percent is the salary of Raju more than the salary of Ram?

• A. 33.33%
• B. 50%
• C. 15.18%
• D. 14.28%

Answer 1

The Correct Option is D

To determine by what percent Raju's salary is more than Ram's, we first need to understand the relationship between their salaries and Saroj's salary.

Let's assume Saroj's salary is \( S \).

Step 1: Calculate Raju's salary

According to the problem, Raju's salary is 20% less than Saroj's salary. So, Raju's salary = \( S - 0.2S = 0.8S \).

Step 2: Calculate Ram's salary

Similarly, Ram's salary is 30% less than Saroj's salary. So, Ram's salary = \( S - 0.3S = 0.7S \).

Step 3: Calculate how much more Raju's salary is over Ram's

The difference in salary between Raju and Ram is:

\( 0.8S - 0.7S = 0.1S \)

To find out by what percent Raju's salary is more than Ram's salary, we use the formula:

\(\text{Percentage Increase} = \left(\frac{\text{Difference}}{\text{Original (Ram's salary)}}\right) \times 100\)

\(\text{Percentage Increase} = \left(\frac{0.1S}{0.7S}\right) \times 100\)

\(= \left(\frac{0.1}{0.7}\right) \times 100\)

\(= \frac{1}{7} \times 100\)

\(= 14.28%\)

Therefore, Raju's salary is 14.28% more than Ram's salary.