The monthly incomes of two persons are in the ratio 5 : 4 and their monthly expenditures are in the ratio 9 : 7. If each person saves Rs. 500 per month, then what are their monthly incomes?
a) Rs 8000 and Rs 10000
b) Rs 3750 and Rs 3000
c) Rs 5000 and Rs 4000
d) Rs 4500 and Rs 4000
e) None of the above

1 Answer

Answer :

Let the incomes of two persons be 5x and 4x
let the expenditures of them be 9y and 7y
Each person saves Rs. 500
Therefore,
5x – 9y = 500
4x – 7y = 500
Solving the above equations,
20x – 36y = 2000
20x – 35y = 2500
Y = 500
Therefore,
5x = 500 + 9y
5x = 500 + 9(500) = 5000
X = 1000
Hence, their salaries are Rs. 5000 and Rs. 4000
Answer: c)

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