If the annual income of A, B and C are in the ratio `1:3:7` and the total annual Income of A and C is Rs 8,00,000, then the monthly salary of B (in Rs) is

Options

A. 20000
B. 25000
C. 30000
D. 15000

Answer

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

### Step 1: Understand the ratio of incomes
The annual incomes of A, B, and C are given in the ratio of 1:3:7. This means:
- Let the annual income of A = 1x
- Let the annual income of B = 3x
- Let the annual income of C = 7x

### Step 2: Set up the equation for A and C's total income
According to the problem, the total annual income of A and C is Rs 8,00,000. Therefore, we can write the equation:
\[ 1x + 7x = 8,00,000 \]
This simplifies to:
\[ 8x = 8,00,000 \]

### Step 3: Solve for x
To find the value of x, divide both sides of the equation by 8:
\[ x = \frac{8,00,000}{8} \]
Calculating this gives:
\[ x = 1,00,000 \]

### Step 4: Calculate B's annual income
Now that we have the value of x, we can find B's annual income:
\[ \text{Annual income of B} = 3x = 3 \times 1,00,000 = 3,00,000 \]

### Step 5: Convert annual income to monthly income
To find B's monthly salary, we divide the annual income by 12:
\[ \text{Monthly salary of B} = \frac{3,00,000}{12} \]
Calculating this gives:
\[ \text{Monthly salary of B} = 25,000 \]

### Final Answer
The monthly salary of B is Rs 25,000.

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