the salary of Manoj is 40% less than that of Subhash, then by how much percentage is the sal ary of Subhash more than that of Manoj?

Options

A. 0.6
B. 66 `1/4` %
C. 66 `2/3` %
D. 0.65

Answer

To solve the problem step by step, we need to determine by what percentage Subhash's salary is more than Manoj's salary, given that Manoj's salary is 40% less than Subhash's salary.

### Step 1: Define the Salaries
Let the salary of Subhash be represented as \( S \).

### Step 2: Calculate Manoj's Salary
Since Manoj's salary is 40% less than Subhash's salary, we can express Manoj's salary \( M \) as:
\[ M = S - 0.4S = 0.6S \]

### Step 3: Find the Difference in Salaries
Now, we need to find the difference between Subhash's salary and Manoj's salary:
\[ \text{Difference} = S - M = S - 0.6S = 0.4S \]

### Step 4: Calculate the Percentage Increase
To find out by how much percentage Subhash's salary is more than Manoj's salary, we use the formula for percentage increase:
\[ \text{Percentage Increase} = \left( \frac{\text{Difference}}{M} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage Increase} = \left( \frac{0.4S}{0.6S} \right) \times 100 \]

### Step 5: Simplify the Expression
The \( S \) in the numerator and denominator cancels out:
\[ \text{Percentage Increase} = \left( \frac{0.4}{0.6} \right) \times 100 = \left( \frac{4}{6} \right) \times 100 = \left( \frac{2}{3} \right) \times 100 \]

### Step 6: Calculate the Final Percentage
Now, calculating \( \frac{2}{3} \times 100 \):
\[ \text{Percentage Increase} = 66.67\% \text{ (or } 66 \frac{2}{3}\% \text{)} \]

### Conclusion
Thus, Subhash's salary is \( 66 \frac{2}{3}\% \) more than Manoj's salary.

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