Lucky spends 85% of her income. If her expenditure increases by x %, savings increase by 60% and income increases by 26%, then what is the value of x ?

20

We know ,

Income = Saving + Expenditure

Let the income of Lucky be 100x

So, increased income = 126x

Expenditure of Lucky = 85x

Saving = 15x

Now saving increased 60%

So,

15x × \(\frac{8}{5}\) = 24x

So Expenditure = 126x - 24x = 102x

Increased in expenditure = 102x - 85x = 17x

So, percentage increased =\(\frac{17x}{85x}\ × 100 = 20%

x = 20