The expenditure of Sudha is 125% more than her savings. If her expenditure decreases by 6% and savings increase by 39.5%, then by what percentage will her income increase?
The expenditure of Sudha is 125% more than her savings. If her expenditure decreases by 6% and savings increase by 39.5%, then by what percentage will her income increase?
सुधा का व्यय उसकी बचत से 125% अधिक है। यदि उसका व्यय 6% कम हो जाता है और बचत 39.5% बढ़ जाती है, तो उसकी आय में कितने प्रतिशत की वृद्धि होगी?
Detailed Solution & Logic
8%
Let savings = 100
Expenditure is 125% more →
Expenditure = 100 + 125 = 225
Initial income = 100 + 225 = 325
📉 New values:
Expenditure ↓ 6% →
$225 \times 0.94 = 211.5$
Savings ↑ 39.5% →
$100 \times 1.395 = 139.5$
New income = 211.5 + 139.5 = 351
Increase in income:
351 - 325 = 26
Percentage increase =
$ \frac{26}{325} \times 100 = 8%$
Final Answer:
8%
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