Q: In two consecutive years, the income ratio is 2: 3 accordingly. Their spending ratio is 5: 9. The income for the second year is Rs 45000, while the expenditure for the first year is Rs 25000. Find the savings for both years together.  

Answer: A

Let the First-year income = 2x
And, Second-year income = 3x
But ATQ, the second-year income = 45000
So, x = 45000/3 = 15000
Then, first-year income = 2*15000=30000

Similarly,
Let the first-year expenditure = 5y
The first-year expenditure =25000
So, y = 25000/5 = 5000
Second-year expenditure = 9y= 9* 5000 = 45000

Apply formula:

Income = expenditure + savings
Or, savings = income - expenditure
Or, first-year savings = 30000- 25000 = 5000
Similarly,
Second-year savings = 45000- 45000 = 0

Now, total saving in two years = first-year savings + second-year savings
Or, Total saving = 5000+0 = 5000.

Here is the equation version of the solution:

First year income: 2x
First year expenditure: 5y
First year savings: 2x - 5y = 5000
Second year income: 3x
Second year expenditure: 9y
Second year savings: 3x - 9y = 0
Total saving: 5000 + 0 = 5000

Where x and y are variables representing the first year income and expenditure, respectively.

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