Amit's monthly income is two-fifth Rahul's monthly income. Rahul's monthly income is 42,000. What is Amit's annual income?

Options

A. Rs 2.012 lakh
B. Rs 2.016 lakh
C. Rs 5.6016 lakh
D. Rs 3.812 lakh

Answer

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

### Step 1: Identify Rahul's Monthly Income
Rahul's monthly income is given as ₹42,000.

### Step 2: Calculate Amit's Monthly Income
Amit's monthly income is two-fifths of Rahul's monthly income. We can calculate this as follows:

\[ \text{Amit's Monthly Income} = \frac{2}{5} \times \text{Rahul's Monthly Income} \]

Substituting Rahul's income:

\[ \text{Amit's Monthly Income} = \frac{2}{5} \times 42,000 \]

### Step 3: Perform the Calculation
Now, we calculate:

\[ \text{Amit's Monthly Income} = \frac{2 \times 42,000}{5} = \frac{84,000}{5} = 16,800 \]

So, Amit's monthly income is ₹16,800.

### Step 4: Calculate Amit's Annual Income
To find Amit's annual income, we multiply his monthly income by 12 (the number of months in a year):

\[ \text{Amit's Annual Income} = \text{Amit's Monthly Income} \times 12 \]

Substituting the monthly income:

\[ \text{Amit's Annual Income} = 16,800 \times 12 \]

### Step 5: Perform the Calculation
Now, we calculate:

\[ \text{Amit's Annual Income} = 16,800 \times 12 = 201,600 \]

So, Amit's annual income is ₹201,600.

### Step 6: Convert to Lakhs
To express this amount in lakhs, we divide by 100,000 (1 lakh):

\[ \text{Amit's Annual Income in Lakhs} = \frac{201,600}{100,000} = 2.016 \]

Thus, Amit's annual income is ₹2.016 lakh.

### Final Answer
Amit's annual income is ₹2.016 lakh.

---