To divide ₹ 3480 in the ratio [tex]\(2:3:5\)[/tex], follow these steps:
1. Understand the ratio: The given ratio [tex]\(2:3:5\)[/tex] has three parts. To begin, add the parts of the ratio together to find the total number of parts.
[tex]\[
2 + 3 + 5 = 10
\][/tex]
2. Calculate the value of one part: Now divide the total amount, ₹3480, by the total number of parts to find the value of one part.
[tex]\[
\text{Value of one part} = \frac{3480}{10} = ₹348
\][/tex]
3. Calculate each share based on the ratio:
- For the first share (ratio of 2 parts):
[tex]\[
\text{Share 1} = 2 \times ₹348 = ₹696
\][/tex]
- For the second share (ratio of 3 parts):
[tex]\[
\text{Share 2} = 3 \times ₹348 = ₹1044
\][/tex]
- For the third share (ratio of 5 parts):
[tex]\[
\text{Share 3} = 5 \times ₹348 = ₹1740
\][/tex]
4. Verify the division: Adding all the shares together should give us the original total amount, ₹3480.
[tex]\[
₹696 + ₹1044 + ₹1740 = ₹3480
\][/tex]
Therefore, when ₹3480 is divided in the ratio [tex]\(2:3:5\)[/tex], the shares are ₹696, ₹1044, and ₹1740 respectively.
