Monthly income of two persons are in the ration 4:5 and their monthly expenses are in the ratio 7:9. If each saves Rs 50 per month. find their monthly incomes.
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Let their monthly income be 5x,4x respectively.
Let their monthly expenditure be 9y,7y respectively.
5x−9y=500 ……….(1)
4x−7y=500 ………(2)
From (1) and (2)
5x−9y=4x−7y
y=2x
From (1),
5x−9×2x=500
Or, x=1000
Their monthly income is 5000 and 4000 respectively
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