Question

the ratio of incomes of two persons is 9 : 7 in the ratio of their expenditures is 4 : 3 if each of them saves rupees 200 per month and their monthly income

Answer 1

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Here is your answer,
The answers is in Attachment.
Put your required value there.
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(ignore my grammatical mistakes...)
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Answer 2

Let the incomes be 9x and 7x respectively, and the expenditures be 4y and 3y respectively.

Now, 
(Income) - (Expenditure) = (Savings).

So we can write this as 2 equations:

9x-4y=200  --- (1)

7x-3y=200 --- (2)

From equation (1), we get:   x= (200+4y)/9.  

Substituting this value of x in (2), we get:

7*((200+4y)/9) - 3y = 200.

Simplifying this, we get: (1400 + 28 y)/9 - 27y/9 = 200
So, 1400 + 28y - 27y = 1800

This gives y=400, and hence x = (200+4y)/9 = 200.

Hence the incomes are:
9x = 9(200) = 1800;
7x = 7(200) = 1400;