Question

the ratio cost of income of two person is 9:7.the ratio of their expense is 4:5.every person saves rupees 200,find the income of each​

Answer 1

Step-by-step explanation:

Take their incomes in the form of x

Income of 1st person = 9x

Income of second person = 7x

And now take expenses as y

Expense of 1st person = 4y

Expense of 2nd person = 5y

Now make two linear equations with it, as we know that each person is saving Rs. 200. So, when you subtract their income from their expense you will get 200

9x - 4y = 200 --------(1)

7x - 5y = 200 ---------(2)

Now multiply equation 1 by 5 and eq. 2 by 4 and then subtracting them,

45x - 20y = 1000

-28x + 20y = -800

----------------------------

17x = 200

x = 200/ 17

Now you got x you can easily calculate their respective incomes.

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