Question

The ratio of income to expenditure of a family is 8:5 . Find the savings of income is ₹ 13600

Answer 1

Step-by-step explanation:

Let

Income = I

Expenditure = E

$\therefore \: I : E = 8 : 5 \\ \implies \: \frac{I}{E} = \frac{8}{5} .....(1) \\ Income ( I ) = Rs.13600....(2) \\ from \: equations \: (1) \: and \: (2) \\ \frac{13600}{E} = \frac{8}{5} \\ \implies \: E = \frac{13600 \times 5}{8} \\ \implies \: E = {1700 \times 5} \\ \implies \: E = {8500} \\ now \\ Savings = I - E \\ \implies \:Savings= 13600 - 8500 \\ \implies \: \boxed{Savings= Rs.5100}$