Richa invests in mutual funds a sum of Rs. 5,59,968. Which is 19% of her annual income. What is her monthly income ?

Options

A. Rs. 4,45,600
B. Rs. 2,45,600
C. Rs. 3,45,600
D. Rs. 1,45,600

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Understand the relationship between investment and annual income
Richa invests Rs. 5,59,968, which is 19% of her annual income. We can denote her annual income as \( x \).

### Step 2: Set up the equation
Since 19% of her annual income is equal to her investment, we can write the equation as:
\[ 0.19x = 5,59,968 \]

### Step 3: Solve for annual income \( x \)
To find \( x \), we need to divide both sides of the equation by 0.19:
\[ x = \frac{5,59,968}{0.19} \]

### Step 4: Calculate the annual income
Now, we perform the division:
\[ x = \frac{5,59,968}{0.19} = 29,47,200 \]

### Step 5: Find the monthly income
To find the monthly income, we divide the annual income by 12:
\[ \text{Monthly Income} = \frac{29,47,200}{12} \]

### Step 6: Calculate the monthly income
Now, we perform the division:
\[ \text{Monthly Income} = 2,45,600 \]

### Final Answer
Richa's monthly income is Rs. 2,45,600.

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