L's income is 125 percent of M's income and L's expenditure is 120 percent of M's expenditure. If L's income is 180 percent of M's expenditure, then what is the respective ratio of L's savings and M's savings?

L's income = 125% of M's income

L's expenditure = 120% of M's expenditure

L's income = 180% of M's expenditure

Savings = Income − Expenditure

Let M's expenditure be x. Then:

L’s income = 1.8x

L’s expenditure = 1.2x

From the first condition (L’s income = 1.25 × M’s income):

M’s income = $$\frac{L\text{'s income}}{1.25} = \frac{1.8x}{1.25}$$​ = 1.44x

M’s savings = 1.44x − x = 0.44x

L’s savings = 1.8x − 1.2x = 0.6x

Ratio of L's savings to M's savings:

Ratio = $$\frac{0.6x}{0.44x} = \frac{60}{44} = \frac{15}{11}$$​​

Thus, the respective ratio of L's savings to M's savings is 15 : 11.