the ratio of monthly income of a and b 9:7 and the ratiobof their expenditure is 4:3 . if each of them mange to save rs 5000 per month then find their monthly income
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Step-by-step explanation:
Let their salaries be 9x and 7x.
Let their expenditure be 4y and 3y.
According to the question,
9x−4y=2000 —(1)
7x−3y=2000 —(2)
From (1)
x=
9
2000+4y
—(3)
On putting x in (2), we get
7×
9
(2000+4y)
−3y=2000
9
(14000+28y)
−3y=2000
9
14000+28y−27y
=2000
14000+y=18000
y=4000
Now, put y in (3)
x=
9
2000+4×4000
x=
9
2000+16000
x=
9
18000
=2000
So,
Salary of first person =9×2000=Rs. 18000
Salary of second person =7×2000=Rs. 14000
Hence, this is the answer.
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