A person can save 25% of his income. If his income increases by 9\(\frac{1}{11}\)% and still he saves the same amount as before, the percentage increase in his expenditure is

12.12%

If the Income is assumed to be 4

Then, savings = 1

expenditure = 3

Increased income = \(\frac{12}{11}\) x 4 = \(\frac{48}{11}\)

Savings = 1

Increased Expenditure = 4\(\frac{4}{11}\) - 1 = 3\(\frac{4}{11}\)

Increment in expenditure = \(\frac{37}{11}\) - 3 = \(\frac{4}{11}\)

Percentage increase in expenditure = \(\frac{\frac{4}{11}}{3}\) x 100 = 12.12%