What is the monthly income of Rahim ? I. Total monthly income of Rahim and Suresh is Rs.27000, which is `150%` of their total monthly expenditure. ii. The ration of their monthly expenditures is `5:4.`

Options

A. if the data in statement I alone are sufficient to answer the questin, while the data in statement II alone are not sufficient to answer the question.
B. if the data in statement II alon are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
C. if the data either in statement I alone or in statement II alone in sufficient to answer the question.
D. if the data even in both the statements I and II together are not sufficient to answer the question.

Explanation

To determine Rahim's monthly income, we will analyze the provided statements step by step.

### Step 1: Analyze Statement I
Statement I states that the total monthly income of Rahim and Suresh is Rs. 27,000, which is 150% of their total monthly expenditure.

Let’s denote:
- Total monthly income of Rahim and Suresh = Rs. 27,000
- Let the total monthly expenditure be \( E \).

According to the statement, we have:
\[ 1.5E = 27,000 \]

To find \( E \), we can rearrange the equation:
\[ E = \frac{27,000}{1.5} = \frac{27,000 \times 2}{3} = 18,000 \]

So, the total monthly expenditure \( E \) is Rs. 18,000.

### Step 2: Analyze Statement II
Statement II provides the ratio of their monthly expenditures as 5:4.

Let’s denote:
- Rahim's expenditure = \( 5x \)
- Suresh's expenditure = \( 4x \)

According to the ratio:
\[ 5x + 4x = 18,000 \]
\[ 9x = 18,000 \]

Now, solving for \( x \):
\[ x = \frac{18,000}{9} = 2,000 \]

Thus, we can find the individual expenditures:
- Rahim's expenditure = \( 5x = 5 \times 2,000 = 10,000 \)
- Suresh's expenditure = \( 4x = 4 \times 2,000 = 8,000 \)

### Step 3: Determine Monthly Income
Now, we have the total expenditure of Rahim as Rs. 10,000. However, we do not have any information regarding the income of Rahim.

Both statements provide information about expenditures but do not directly relate to Rahim's income. Therefore, we cannot determine Rahim's monthly income from the information given.

### Conclusion
Since neither statement alone nor both statements together provide sufficient information to determine Rahim's monthly income, we conclude that the answer is:

**The data in both statements are not sufficient to answer the question.**

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