The ratio of income in two consecutive years is 2: 3 respectively. The ratio of their expenditure is 5: 9. Income of second-year is Rs 45000 and Expenditure of first-year is Rs 25000. Find the Savings in both years together.
Answer & explanation
Correct answer: option 1
Let the incomes in the first and second years be $2x$ and $3x$.
Given:
- Second year's income = ₹45,000
$3x = 45000 ⇒x = 15000$
So,
- First year's income = $2x = \text{₹}30,000$
Let the expenditures be $5y$ and $9y$.
Given:
- First year's expenditure = ₹25,000
$5y = 25000 ⇒y = 5000$
So,
- Second year's expenditure = $9y = \text{₹}45,000$
Now calculate savings:
- First year: $30000 - 25000 = \text{₹}5000$
- Second year: $45000 - 45000 = \text{₹}0$
Total savings:
$5000 + 0 = \text{₹}5000$