A sum of Rs. 11200 is shared among Mr. khare, Mr. Patel and Mr. Verma, Mr. Khare gets `1/4` th of it while Mr. Patel gets `1/5 th` of it. The amount of Mr. Verma is :

Options

A. 6006
B. 6160
C. 3080
D. data insufficient

Answer

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

### Step 1: Calculate Mr. Khare's Share
Mr. Khare receives \( \frac{1}{4} \) of the total amount of Rs. 11,200.

\[ \text{Mr. Khare's Share} = \frac{1}{4} \times 11200 = \frac{11200}{4} = 2800 \]

### Step 2: Calculate Mr. Patel's Share
Mr. Patel receives \( \frac{1}{5} \) of the total amount of Rs. 11,200.

\[ \text{Mr. Patel's Share} = \frac{1}{5} \times 11200 = \frac{11200}{5} = 2240 \]

### Step 3: Calculate Mr. Verma's Share
To find out how much Mr. Verma receives, we subtract the amounts received by Mr. Khare and Mr. Patel from the total amount.

\[ \text{Mr. Verma's Share} = 11200 - \text{Mr. Khare's Share} - \text{Mr. Patel's Share} \]
\[ \text{Mr. Verma's Share} = 11200 - 2800 - 2240 \]
\[ \text{Mr. Verma's Share} = 11200 - 5040 = 6160 \]

### Final Answer
Mr. Verma receives Rs. 6,160.

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