Question

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

plz answer ...............
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Answer 1

Heya. !!!!

Here is your answer,

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Let the income of the persons be 9x and 7x

Let the expenditure of the persons be 4y and 3y.

Now it is given that both of them saves 2000 each.

So

9x-4y = 2000 1..

7x-3y = 2000 2 ..

From 1... x = 2000+4y /9x
Putting this value of x in 2....

we get 7x* 2000+4y /9x - 3y = 2000
28y+14000/9 - 3y = 2000
3y+2000 = 28y+14000/9
27y+ 18000 = 28y+14000
y+14000 = 18000
y = 4000

So the expenditure of 1st person will be 16000 and 2nd person will be 12000
Income = expenditure+saving
So the income of first person will be 16000+2000 = 18000
And the income of second person will be 12000+2000 = 14000

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Hope it helps u

THUMBS UP PLEASE !

# Nikky

Answer 2

Here are the two equation According to the question

Let's assume that the income is 9x and 7x and the expenditure is 4y and 3y

9x-4y=2000..........(i)
7x-3y=2000..........(ii)


performing 4(ii)-(i), we get
x=2000
substituting in (i) we get
y=5000

SO their income was 18000 and 14000 monthly

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