Question 70

The monthly incomes of two persons are in the ratio of 4 : 5 and their monthly expenditures are in the ratio of 7 : 9. If each saves Rs. 50 a month, then what are their monthly incomes?

Solution

Let their monthly incomes be Rs. $$4x$$ and $$5x$$ respectively, and their monthly expenditures be Rs. $$7y$$ and $$9y$$

According to ques,

=> $$4x-7y=50$$ -----------(i)
and $$5x-9y=50$$ -------------(ii)

Solving above equations, we get : $$y=50$$ and $$x=100$$

$$\therefore$$ Their monthly incomes = Rs. 400 and Rs. 500

=> Ans - (D)

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