A sum of ₹ 1,260 is distributed between Ravi and Mohan. If the shares of Ravi and Mohan are in ratio 5 : 4, then the shares of Ravi and Mohan are respectively:

Options

A. ₹680 and ₹580
B. ₹800 and ₹460
C. ₹700 and ₹560
D. ₹750 and ₹510

Answer

To solve the problem of distributing ₹1,260 between Ravi and Mohan in the ratio of 5:4, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ratio**:
The ratio of Ravi's share to Mohan's share is given as 5:4. This means that for every 5 parts Ravi receives, Mohan receives 4 parts.

2. **Calculate the Total Parts**:
To find the total number of parts, we add the parts of Ravi and Mohan together:
\[ \text{Total parts} = 5 + 4 = 9 \]

3. **Determine the Value of One Part**:
Since the total amount to be distributed is ₹1,260, we can find the value of one part by dividing the total amount by the total number of parts:
\[ \text{Value of one part} = \frac{1260}{9} = 140 \]

4. **Calculate Ravi's Share**:
To find Ravi's share, we multiply the number of parts he receives (5) by the value of one part:
\[ \text{Ravi's share} = 5 \times 140 = 700 \]

5. **Calculate Mohan's Share**:
Similarly, to find Mohan's share, we multiply the number of parts he receives (4) by the value of one part:
\[ \text{Mohan's share} = 4 \times 140 = 560 \]

6. **Final Shares**:
Thus, the shares of Ravi and Mohan are:
\[ \text{Ravi's share} = ₹700, \quad \text{Mohan's share} = ₹560 \]

### Conclusion:
The shares of Ravi and Mohan are respectively ₹700 and ₹560.

---