Four friends Rohan, Amar, Saran and Madhukar decided to pool same money. They pooled money in the ratio 2 : 3 : 4 : 5. With the pooled money ₹ 3500. How much amount was pooled by Rohan and Madhukar together?

Options

A. ₹ 1856
B. ₹ 1750
C. ₹ 1623
D. ₹ 2150

Answer

To find out how much amount was pooled by Rohan and Madhukar together, we can follow these steps:

### Step 1: Understand the Ratio
The amounts pooled by Rohan, Amar, Saran, and Madhukar are in the ratio 2:3:4:5. Let's denote the amounts pooled by each friend as:
- Rohan = 2k
- Amar = 3k
- Saran = 4k
- Madhukar = 5k

### Step 2: Calculate the Total Parts in the Ratio
To find the total parts in the ratio, we add up the parts:
\[ 2 + 3 + 4 + 5 = 14 \]
So, the total parts = 14.

### Step 3: Set Up the Equation for Total Amount
The total pooled amount is given as ₹3500. We can express this in terms of k:
\[ 2k + 3k + 4k + 5k = 3500 \]
This simplifies to:
\[ 14k = 3500 \]

### Step 4: Solve for k
To find the value of k, we divide both sides by 14:
\[ k = \frac{3500}{14} \]
Calculating this gives:
\[ k = 250 \]

### Step 5: Calculate Amounts Pooled by Rohan and Madhukar
Now we can find the amounts pooled by Rohan and Madhukar:
- Rohan's amount = \( 2k = 2 \times 250 = 500 \)
- Madhukar's amount = \( 5k = 5 \times 250 = 1250 \)

### Step 6: Add Rohan's and Madhukar's Amounts
Now, we add the amounts pooled by Rohan and Madhukar together:
\[ \text{Total pooled by Rohan and Madhukar} = 500 + 1250 = 1750 \]

### Final Answer
Thus, the amount pooled by Rohan and Madhukar together is ₹1750.

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