Question

The ratio of incomes of two persons is 9:7 and the ratio of their expenditures is 4:3 if each of them manages to save ₹2000 per month find their monthly incomes

Answer 1

$\textbf{Answer}$

Suppose the income of 1st person is 9x
Since ratio of income of two persons is 9:7
=> Income of second person is 7x


Lets suppose that the expenditure of 1st person is 4y
Since ratio of expenditures of both persons is 4:3
=> Expenditure of 2nd person is 3y


We know that,
Saving = Income - Expenditure

So saving of 1st person = 9x - 4y
=> 9x - 4y = 2000 -----------(1)

&

Saving of 2nd person = 7x - 3y
=> 7x - 3y = 2000 -----------(2)

Lets multiply equation (1) by 3 and equation (2) by 4,

27x - 12y = 6000 ---------(3)
28x - 12y = 8000 ---------(4)

$\textbf{Lets subtract equation (3) by (4),}$

28x - 27x - 12y + 12y = 8000 - 6000
=> x = 2000


Since the income of 1st person is 9x
=> Income of 1st person = 9×2000 = Rs 18000

&

Since the income of 2nd person is 7x
=> Income of 2nd person = 7×2000 = Rs 14000


$\textbf{Thanks}$

Answer 2

Step-by-step explanation:

The ratio of incomes of two persons is 9:7 and the ratio of their expenditures 4:3. If each of them manages to save 2000 per months, find their monthly incomes.