A's monthly salary is 20% more than B's monthly salary. C's monthly salary is Rs25,000 more than B's monthly salary.
Their total monthly salary is Rs2,65,000. The salary of B is what percentage of that of C?

Options

A. `75%`
B. `55%`
C. `60%`
D. `70%`

Answer

To solve the problem step by step, we will define the salaries of A, B, and C in terms of B's salary and then calculate the required percentage.

### Step 1: Define the Salaries
Let B's monthly salary be \( B \).

- A's monthly salary is 20% more than B's salary:
\[ A = B + 0.2B = 1.2B \]

- C's monthly salary is Rs 25,000 more than B's salary:
\[ C = B + 25,000 \]

### Step 2: Write the Total Salary Equation
The total monthly salary of A, B, and C is given as Rs 2,65,000:
\[ A + B + C = 2,65,000 \]

Substituting the expressions for A and C:
\[ 1.2B + B + (B + 25,000) = 2,65,000 \]

### Step 3: Simplify the Equation
Combine like terms:
\[ 1.2B + B + B + 25,000 = 2,65,000 \]
\[ 3.2B + 25,000 = 2,65,000 \]

### Step 4: Solve for B
Subtract Rs 25,000 from both sides:
\[ 3.2B = 2,65,000 - 25,000 \]
\[ 3.2B = 2,40,000 \]

Now, divide both sides by 3.2 to find B's salary:
\[ B = \frac{2,40,000}{3.2} = 75,000 \]

### Step 5: Calculate C's Salary
Now that we have B's salary, we can find C's salary:
\[ C = B + 25,000 = 75,000 + 25,000 = 1,00,000 \]

### Step 6: Calculate the Required Percentage
We need to find what percentage B's salary is of C's salary:
\[ \text{Percentage} = \left( \frac{B}{C} \right) \times 100 \]
Substituting the values:
\[ \text{Percentage} = \left( \frac{75,000}{1,00,000} \right) \times 100 = 75\% \]

### Final Answer
The salary of B is **75%** of that of C.

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