The salaries of Peons, Clericals and Managers in M/s Solvato Consultanta (P) Ltd are in the ratio of `1:2:3`. The salary of clericals and Mangers together is Rs.60,000. By what percent is the salary of Managers more than that of Peons?

Options

A. 100%
B. 200%
C. 300%
D. 600%

Answer

To solve the problem step by step, we will follow the given information and perform the necessary calculations.

### Step 1: Understand the Ratios
The salaries of Peons, Clericals, and Managers are given in the ratio of 1:2:3. We can represent their salaries as:
- Peons = x
- Clericals = 2x
- Managers = 3x

### Step 2: Set Up the Equation
According to the problem, the combined salary of Clericals and Managers is Rs. 60,000. Therefore, we can write the equation:
\[ 2x + 3x = 60,000 \]

### Step 3: Simplify the Equation
Combine the terms on the left side:
\[ 5x = 60,000 \]

### Step 4: Solve for x
To find the value of x, divide both sides of the equation by 5:
\[ x = \frac{60,000}{5} = 12,000 \]

### Step 5: Calculate Individual Salaries
Now that we have the value of x, we can calculate the individual salaries:
- Salary of Peons = x = Rs. 12,000
- Salary of Clericals = 2x = 2 × 12,000 = Rs. 24,000
- Salary of Managers = 3x = 3 × 12,000 = Rs. 36,000

### Step 6: Find the Difference in Salaries
Next, we need to find out how much more the salary of Managers is than that of Peons:
Difference = Salary of Managers - Salary of Peons
\[ = 36,000 - 12,000 = 24,000 \]

### Step 7: Calculate the Percentage Increase
To find out by what percent the salary of Managers is more than that of Peons, we use the formula:
\[ \text{Percentage Increase} = \left( \frac{\text{Difference}}{\text{Salary of Peons}} \right) \times 100 \]
Substituting the values:
\[ = \left( \frac{24,000}{12,000} \right) \times 100 = 2 \times 100 = 200\% \]

### Final Answer
The salary of Managers is 200% more than that of Peons.

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