Rs. 6450 is divided between Rajan and Suresh so that for every Rs. 8 that Rajan gets, Suresh Rs. 7, their shares difference by-

Options

A. Rs 390
B. Rs. 430
C. Rs. 442
D. Rs. 464

Answer

To solve the problem of dividing Rs. 6450 between Rajan and Suresh in the ratio of 8:7, we can follow these steps:

### Step 1: Understand the Ratio
The ratio of the amounts received by Rajan and Suresh is given as 8:7. This means for every 8 parts that Rajan receives, Suresh receives 7 parts.

### Step 2: Calculate the Total Parts
Add the parts of the ratio together:
\[ 8 + 7 = 15 \text{ parts} \]

### Step 3: Find the Value of One Part
To find the value of one part, divide the total amount (Rs. 6450) by the total number of parts (15):
\[ \text{Value of one part} = \frac{6450}{15} = 430 \text{ Rs.} \]

### Step 4: Calculate Rajan's and Suresh's Shares
Now, calculate the individual shares:
- Rajan's share:
\[ \text{Rajan's share} = 8 \times 430 = 3440 \text{ Rs.} \]
- Suresh's share:
\[ \text{Suresh's share} = 7 \times 430 = 3010 \text{ Rs.} \]

### Step 5: Find the Difference Between Their Shares
Now, we need to find the difference between Rajan's and Suresh's shares:
\[ \text{Difference} = 3440 - 3010 = 430 \text{ Rs.} \]

### Conclusion
The difference between Rajan's and Suresh's shares is Rs. 430.

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