Rs1122 was divided between two people in the ratio 13:21. The one who got the larger share received Rs _______.

Options

A. 782
B. 714
C. 680
D. 748

Answer

To solve the problem of dividing Rs. 1122 between two people in the ratio of 13:21, we can follow these steps:

### Step 1: Understand the Ratio
The ratio 13:21 means that for every 34 parts (13 + 21), one person gets 13 parts and the other gets 21 parts.

### Step 2: Calculate the Total Parts
Add the parts of the ratio together:
\[ 13 + 21 = 34 \]
So, the total parts are 34.

### Step 3: Calculate the Value of One Part
To find the value of one part, divide the total amount (Rs. 1122) by the total parts (34):
\[ \text{Value of one part} = \frac{1122}{34} \]
Calculating this gives:
\[ \text{Value of one part} = 33 \]

### Step 4: Calculate Each Share
Now, calculate the share for each person:
- For the person who gets 13 parts:
\[ \text{Share of first person} = 13 \times 33 = 429 \]
- For the person who gets 21 parts:
\[ \text{Share of second person} = 21 \times 33 = 693 \]

### Step 5: Identify the Larger Share
The larger share is Rs. 693.

### Final Answer
The one who got the larger share received Rs. **693**.

---