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Given data: Ratio of income to the expenditure of a family is \[7:6\]

Income of family=Rs.42000

Let the expenditure of family be Rs.x

Therefore, according to the given data

i.e. \[42000:x = 7:6\]

$ \Rightarrow \dfrac{{42000}}{x} = \dfrac{7}{6}$

After cross-multiplication, we get,

\[ \Rightarrow x = 42000\left( {\dfrac{6}{7}} \right)\]

On further simplification we get,

\[ \Rightarrow x = 6000\left( 6 \right)\]

\[\therefore x = 36000\]

Therefore, the expenditure of the family=Rs.36000

The savings of the family will be equal to the left amount out of the total income after the expenditure

i.e. Savings of the family=Income-Expenditure of the family

Savings of the family\[ = Rs.42000 - Rs.36000\]

In this question also we’ve given the ratio of income to expenditure since income and expenditure both are in rupees having the same unit hence the ratio will come out be a unitless value.