Question

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 500 a month, what are their monthly incomes?

• A. 1000, 1250
• B. 2000, 2500
• C. 4000, 5000
• D. 3000, 3750

Answer 1

Answer:

C. 4000, 5000

Let the monthly income of one person be 4x and that of the other be 5x Let the monthly expenses of one person be 7y and that of other be 9y 4x−7y=500........(1) 5x−9y=500........(2) On solving both equations, we get y=500 x=1000 Monthly income of one person =4×1000=4000 Monthly income of the other person =5×100=5000