The expenditure of Sudha is 175%
The expenditure of Sudha is 175% more than her savings. If her expenditure decreases by 12% and savings increase by 40.5%, then by what percentage does her income increase?
सुधा का व्यय उसकी बचत से 175% अधिक है। यदि उसका व्यय 12% कम हो जाता है और बचत 40.5% बढ़ जाती है, तो उसकी आय में कितने प्रतिशत की वृद्धि होगी?
Detailed Solution & Logic
2%
Step 1: Represent the given information
Let Sudha's savings be $S$.
Her expenditure is 175% more than her savings, so:
$E = 2.75S$
Her income is:
$I = E + S = 2.75S + S = 3.75S$
Step 2: Adjust expenditure and savings
Expenditure decreases by 12%:
$E_{\text{new}} = 2.75S \times 0.88 = 2.42S$
Savings increase by 40.5%:
$S_{\text{new}} = S \times 1.405 = 1.405S$
Step 3: Find new income
$I_{\text{new}} = E_{\text{new}} + S_{\text{new}} = 2.42S + 1.405S = 3.825S$
Step 4: Find percentage increase in income
Percentage increase = $\frac{I_{\text{new}} - I}{I} \times 100 = \frac{3.825S - 3.75S}{3.75S} \times 100 = 2%$
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