Monthly incomes of two persons are in the ration 4:5 and theri monthly expenses are in the ratio 7:9. if each saves Rs. 50 per month find their monthly incomes?

Question

Monthly incomes of two persons are in the ration 4:5 and theri monthly expenses are in the ratio 7:9. if each saves Rs. 50 per month find their monthly incomes?

Answer 1

income ratio = a/b = 4/5 = 4c/5c

spending ratio = s/t = 7/9 = 7d/9d

they each save 50 Rs monthly

income minus spending = savings

a-s = 50 = b-t

b-t = a-s

b-a= t-s

5c-4c = 9d-7d

c = 2d

4c/5c = 8d/10d

b saved b-t = 5c - 9d = 5c -4.5c = .5c = 50

c = 50/.5 = 100

a =4c = 400 Rs monthly income for 1st guy a

b = 5c = 500 Rs monthly income for 2nd guy b

400/500 = 4/5 income ratio

spending ratio = 350/450 = 7/9