To determine the portions when Rs. 600 is divided in the ratio [tex]\( 3:7 \)[/tex], we can follow a step-by-step method:
1. Identify the Total Amount to be Divided:
The total amount to be divided is Rs. 600.
2. Understand the Given Ratio:
The ratio provided is [tex]\( 3 : 7 \)[/tex].
3. Calculate the Total Parts of the Ratio:
Add the parts of the ratio together to find the total number of parts. In this case:
[tex]\[
3 + 7 = 10
\][/tex]
There are 10 parts in total.
4. Determine the Value of One Part:
To find the value of one part, divide the total amount by the total number of parts:
[tex]\[
\text{Value of one part} = \frac{600}{10} = 60
\][/tex]
5. Calculate Each Portion:
- The first portion is based on 3 parts of the ratio. Multiply the value of one part by the number of parts in the first portion:
[tex]\[
\text{Portion 1} = 3 \times 60 = 180
\][/tex]
- The second portion is based on 7 parts of the ratio. Multiply the value of one part by the number of parts in the second portion:
[tex]\[
\text{Portion 2} = 7 \times 60 = 420
\][/tex]
6. State the Result:
When Rs. 600 is divided in the ratio [tex]\( 3:7 \)[/tex], the portions will be:
- Portion corresponding to the ratio part 3: Rs. 180.0
- Portion corresponding to the ratio part 7: Rs. 420.0
So, the portions are Rs. 180.0 and Rs. 420.0.
