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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 ₹45000 and expenditure of first year is ₹25000. Savings in both years together is?
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The ratio of income in two consecutive years is 2:3 respectively.The r...
Understanding the Problem
To find the savings for both years based on the given ratios of income and expenditure, let's analyze the provided information:
- Income ratio for two consecutive years: 2:3
- Expenditure ratio for two consecutive years: 5:9
- Income of the second year: ₹45000
- Expenditure of the first year: ₹25000

Calculating Income for the First Year
Since the income ratio is 2:3, we can denote the income of the first year as \(2x\) and the second year as \(3x\).
Given that the income of the second year is ₹45000:
- \(3x = 45000\)
- \(x = 15000\)
Therefore, the income of the first year is:
- \(2x = 2 \times 15000 = ₹30000\)

Calculating Expenditure for the Second Year
Using the expenditure ratio of 5:9, let the expenditure of the first year be \(5y\) and the second year be \(9y\).
We know the expenditure of the first year is ₹25000:
- \(5y = 25000\)
- \(y = 5000\)
Thus, the expenditure of the second year is:
- \(9y = 9 \times 5000 = ₹45000\)

Calculating Savings for Both Years
- **Savings in the First Year**:
- Income - Expenditure = ₹30000 - ₹25000 = ₹5000
- **Savings in the Second Year**:
- Income - Expenditure = ₹45000 - ₹45000 = ₹0

Calculating Total Savings
Combining both years' savings:
- Total Savings = Savings in First Year + Savings in Second Year
- Total Savings = ₹5000 + ₹0 = ₹5000

Final Answer
The total savings in both years together is ₹5000.
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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 ₹45000 and expenditure of first year is ₹25000. Savings in both years together is?
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