A certain sum was divided between Priya and Yashika in the ratio `5 : 6`. If Yashika's share was Rs 2400, find the total sum.

Options

A. Rs 4800
B. Rs 4400
C. Rs 3200
D. Rs 2800

Answer

To solve the problem, we need to find the total sum that was divided between Priya and Yashika based on the given ratio and Yashika's share.

### Step-by-Step Solution:

1. **Understand the Ratio**:
The ratio of Priya's share to Yashika's share is given as 5:6. This means for every 5 parts that Priya receives, Yashika receives 6 parts.

2. **Identify the Total Parts**:
To find the total parts in the ratio, we add the parts together:
\[ \text{Total parts} = 5 + 6 = 11 \]

3. **Determine Yashika's Share in Terms of Total Sum**:
Since Yashika's share corresponds to 6 parts out of the total 11 parts, we can express Yashika's share as:
\[ \text{Yashika's share} = \frac{6}{11} \times \text{Total Sum} \]

4. **Set Up the Equation**:
We know from the problem that Yashika's share is Rs 2400. Therefore, we can set up the equation:
\[ \frac{6}{11} \times \text{Total Sum} = 2400 \]

5. **Solve for Total Sum**:
To find the Total Sum, we can rearrange the equation:
\[ \text{Total Sum} = 2400 \times \frac{11}{6} \]
Now, calculate the right side:
\[ \text{Total Sum} = 2400 \times \frac{11}{6} = 2400 \times 1.8333 \approx 4400 \]

6. **Final Answer**:
The total sum that was divided between Priya and Yashika is Rs 4400.