Mani's monthly income is three-fourth of Rakhi's montly income. Rakhi's monthly income is Rs38000, What is Mani's annual income ?

Options

A. X 4.32 lakh
B. 3.42 lakh
C. 3.22 lakh
D. x 4.22 lakh

Answer

To find Mani's annual income based on the information provided, we can follow these steps:

### Step 1: Determine Mani's Monthly Income
Mani's monthly income is three-fourths of Rakhi's monthly income. We know Rakhi's monthly income is Rs. 38,000.

To find Mani's monthly income:
\[ \text{Mani's Monthly Income} = \frac{3}{4} \times \text{Rakhi's Monthly Income} \]
Substituting the value of Rakhi's income:
\[ \text{Mani's Monthly Income} = \frac{3}{4} \times 38,000 \]

### Step 2: Calculate Mani's Monthly Income
Now, we calculate:
\[ \text{Mani's Monthly Income} = \frac{3 \times 38,000}{4} \]
Calculating \(3 \times 38,000\):
\[ 3 \times 38,000 = 114,000 \]
Now divide by 4:
\[ \text{Mani's Monthly Income} = \frac{114,000}{4} = 28,500 \]

### Step 3: Calculate Mani's Annual Income
To find Mani's annual income, we multiply his monthly income by 12 (the number of months in a year):
\[ \text{Mani's Annual Income} = \text{Mani's Monthly Income} \times 12 \]
Substituting the value we found:
\[ \text{Mani's Annual Income} = 28,500 \times 12 \]

### Step 4: Perform the Multiplication
Now, we calculate:
\[ 28,500 \times 12 = 342,000 \]

### Conclusion
Thus, Mani's annual income is Rs. 342,000.

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