A sum of money is divided among Wasim , chintan, yash and Zignesh in the ratio of `3:7:9:13` respectively .If the share of Wasim and yash together is Rs .11172, then what is the difference between the amounts of Chintan and Zignesh ?

Options

A. A)Rs 7672
B. B)Rs 6834
C. C)Rs 5586
D. D)Rs 7867

Answer

To solve the problem step by step, we will follow the given ratios and the information provided.

### Step 1: Understand the Ratio
The amounts of money received by Wasim, Chintan, Yash, and Zignesh are in the ratio of 3:7:9:13.

Let:
- Wasim's share = 3x
- Chintan's share = 7x
- Yash's share = 9x
- Zignesh's share = 13x

### Step 2: Calculate the Total Share of Wasim and Yash
According to the problem, the total share of Wasim and Yash together is Rs. 11172.

So, we can write the equation:
\[ 3x + 9x = 11172 \]
This simplifies to:
\[ 12x = 11172 \]

### Step 3: Solve for x
To find the value of x, divide both sides of the equation by 12:
\[ x = \frac{11172}{12} \]

Calculating this gives:
\[ x = 931 \]

### Step 4: Find the Shares of Chintan and Zignesh
Now that we have the value of x, we can find the shares of Chintan and Zignesh:
- Chintan's share = 7x = 7 * 931 = 6517
- Zignesh's share = 13x = 13 * 931 = 12103

### Step 5: Calculate the Difference Between Chintan and Zignesh
Now, we need to find the difference between the amounts of Chintan and Zignesh:
\[ \text{Difference} = Zignesh's share - Chintan's share \]
\[ \text{Difference} = 12103 - 6517 \]
Calculating this gives:
\[ \text{Difference} = 5586 \]

### Final Answer:
The difference between the amounts of Chintan and Zignesh is Rs. 5586.

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