The ratio of expenditure and savings of a person is 5 : 3. If the income increases by 20% and the expenditure increases by 10%, then the person’s savings increase by:

$36\frac{2}{3}$%

The ratio of expenditure and savings of a person = 5 : 3

Let Expenditure = 50 & Savings = 30

Income of person = 50 + 30 = 80

New income of person = 80 × \(\frac{120}{100}\) = 96

New expenditure of person = 50 × \(\frac{110}{100}\) = 55

New savings = 96 - 55 = 41

Saving increased by =  \(\frac{41 - 30}{30}\) × 100

=   36\(\frac{2}{3}\)%