Monthly incomes of two persons are in the ratio 5:4 and their monthly expenditures are in the ratio of 9:7. If each person saves Rs 500 per month, then what is their monthly income?
Mark for review
Rs 5000 and Rs 4000
Rs 3750 and Rs 3000
O None of the listed options
Rs. 8000 and Rs 10000
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Step-by-step explanation:
ANSWER
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=
2
x
From (1),
5x−9×
2
x
=500
Or, x=1000
Their monthly income is 5000 and 4000 respectively.
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