the ratio of weekly incomes of A and B is 9:7 and the ratio of their weekly expenditures is 4:3.If saved rs/ 200 per week,then the sum of their weekly income is.
Answers
Answered by
4
let A'S Income=9x,
B's income=7x,
let
A's expenditure=4y,
B's expenditure=3y,
9x-4y=200,
then
27x-12y=600,.....eq(1),
7x-3y=200,
then
28x-12y=800,.......eq(2),
eq(2)-eq(1), we get
28x-27x=800-600,
x=200,
therefore
A's Income=9×200=1800,
B's income=7×200=1400
B's income=7x,
let
A's expenditure=4y,
B's expenditure=3y,
9x-4y=200,
then
27x-12y=600,.....eq(1),
7x-3y=200,
then
28x-12y=800,.......eq(2),
eq(2)-eq(1), we get
28x-27x=800-600,
x=200,
therefore
A's Income=9×200=1800,
B's income=7×200=1400
Similar questions