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The monthly income of Aryan and Babban a...

The monthly income of Aryan and Babban are in ratio 3:4 and their monthly expenditure are in ratio 5:7 . If each saves 30,000 per month . Find their monthly income.

Text Solution

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Let the incomes of Aryan and Babban be 3x and 4x respectively.
Similarly, their expenditures would be 5y and 7y respectively.
Since each saves `Rs. 15000`, we get
`3x−5y=15000`...(1)
`4x−7y=15000`...(2)
This can be written in matrix form as
`[[3,​−5],[4,−7​]][[x],[y]]=[[15000],[15000]]`
...
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