Question

hey guys .... PLS HELP ME
the incomes of two person A and B are in the ration 8:7 and the ration of their expenditures are 19:16 . if their savings are 2550 per month , find their monthly income.

Answer 1

Ai : Bi = 8:7
Ae : Be = 19:16
Savings = 2550
Ai = Ae + 2550
Bi = Be + 2550
(Ae+2550):(Be+2550) = 8:7
Cross multiplication
7 x ( Ae + 2550) = 8 x (Be + 2550)
7 x ( 19k + 2550) = 8 x (Be + 2550)
133k + 17850 = 128k + 20400
5k = 2550
k = 510

Ai = Ae + 2550
Ai = 19k + 2550
Ai = 19 x 510 + 2550
Ai = 9690 + 2550
Ai = 12240

Bi = Be+ 2550
Bi = 17k + 2550
Bi = 17 x 510 + 2550
Bi = 8160 + 2550
Bi = 10710