The monthly income of two persons is in the ratio 4 : 5 and their expenditures are in the ratio 7 : 9. If each saves Rs. 50 per month, then their monthly incomes are:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. Rs. 400; Rs. 500.
Let the monthly income of one person be 4a and that of the other be 5a
Let the monthly expenses of one person be 7b and that of another be 9b
According to the question;
⇒ 4a - 7b = 50 .........(1)
⇒ 5a - 9b = 50........(2)
On solving both equations,
b = 50, a = 100
Monthly income of one person = 4 × 100 = Rs. 400
Monthly income of other person = 5 × 100 = Rs. 500
Therefore, the monthly incomes of both persons are Rs. 400 and Rs. 500.