Divide Rs 840 between Amit and Tanvy in the ratio `5 : 7`

Options

A. 350, 490
B. 400, 440
C. 220 , 620
D. None of these

Answer

To divide Rs 840 between Amit and Tanvy in the ratio of 5:7, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ratio**: The ratio of Amit to Tanvy is given as 5:7. This means for every 5 parts Amit receives, Tanvy receives 7 parts.

2. **Calculate Total Parts**: Add the parts of the ratio together:
\[ 5 + 7 = 12 \text{ parts} \]

3. **Find the Value of One Part**: To find the value of one part, divide the total amount (Rs 840) by the total number of parts (12):
\[ \text{Value of one part} = \frac{840}{12} = 70 \]

4. **Calculate Amit's Share**: Since Amit's share is 5 parts, multiply the value of one part by 5:
\[ \text{Amit's Share} = 5 \times 70 = 350 \]

5. **Calculate Tanvy's Share**: Since Tanvy's share is 7 parts, multiply the value of one part by 7:
\[ \text{Tanvy's Share} = 7 \times 70 = 490 \]

6. **Verify the Total**: Add both shares to ensure they equal the total amount:
\[ 350 + 490 = 840 \]

### Final Shares:
- Amit receives Rs 350.
- Tanvy receives Rs 490.