Answer:
Sunayana's income is ₹25000 and expenditures are ₹15000.
Step-by-step explanation:
Let i denote the monthly income and e denote the expenditures.
We know that the ratio of the monthly income to expenditure is 5:3. So, we can write the following proportion:
Let's multiply both sides by e. This yields:
We know that when the income is <em>increased</em> by 5000 and the expenditures are <em>decreased </em>by 3000, the new ratio is 5:2. So, we can write the following proportion:
Let's multiply both sides by :
Since we know that , substitute:
So, let's solve for the expenditures. Distribute the right:
Subtract from both sides:
Subtract 5000 from both sides:
Multiply both sides by -6/5. So, the expenditures are:
We can use the original ratio to find Sunayana's income:
Substitute 15000 for e. Evaluate:
So, Sunayana's income is ₹25000 and expenditures are ₹15000.
And we're done!
Edit: Wrong currency, sorry about that!