Three friends, Rohan, Amar and Saran pooled money to gift packs. They pooled money in the ratio `5 : 5 : 4`. With the pooled money of Rs.3500. How much was Saran's contribution in preparing the gift packs

Options

A. 3000
B. 1000
C. 2000
D. 1800

Answer

To find Saran's contribution in preparing the gift packs, we can follow these steps:

### Step 1: Understand the ratio of contributions
The contributions of Rohan, Amar, and Saran are given in the ratio of 5:5:4. This means:
- Rohan's contribution = 5 parts
- Amar's contribution = 5 parts
- Saran's contribution = 4 parts

### Step 2: Express contributions in terms of a variable
Let the common multiplier be \( k \). Therefore, we can express their contributions as:
- Rohan's contribution = \( 5k \)
- Amar's contribution = \( 5k \)
- Saran's contribution = \( 4k \)

### Step 3: Calculate the total contribution
The total contribution from all three friends can be expressed as:
\[ 5k + 5k + 4k = 14k \]

### Step 4: Set up the equation with the total pooled money
We know that the total pooled money is Rs. 3500. Therefore, we can set up the equation:
\[ 14k = 3500 \]

### Step 5: Solve for \( k \)
To find the value of \( k \), divide both sides of the equation by 14:
\[ k = \frac{3500}{14} \]
Calculating this gives:
\[ k = 250 \]

### Step 6: Find Saran's contribution
Now that we have the value of \( k \), we can find Saran's contribution:
\[ \text{Saran's contribution} = 4k = 4 \times 250 = 1000 \]

### Conclusion
Saran's contribution in preparing the gift packs is Rs. 1000.

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