To find Rita's total income, we need to follow these steps:
1. Understand the relationship between savings and income:
We are told that Rita's savings amount to ₹9000 and that this amount constitutes [tex]\(\frac{3}{10}\)[/tex] of her total income.
2. Set up the equation:
If we let [tex]\(I\)[/tex] represent Rita’s total income, then her savings, which are [tex]\(\frac{3}{10}\)[/tex] of her total income, can be written as:
[tex]\[
\text{savings} = \frac{3}{10} \times I
\][/tex]
3. Substitute given values:
Substitute the known value of the savings (₹9000) into this equation:
[tex]\[
9000 = \frac{3}{10} \times I
\][/tex]
4. Solve for [tex]\(I\)[/tex]:
To isolate [tex]\(I\)[/tex], multiply both sides of the equation by the reciprocal of [tex]\(\frac{3}{10}\)[/tex], which is [tex]\(\frac{10}{3}\)[/tex]:
[tex]\[
I = 9000 \times \frac{10}{3}
\][/tex]
5. Calculate the result:
Performing the multiplication gives:
[tex]\[
I = 30000
\][/tex]
So, Rita's total income is ₹30,000.
