Question

the income of A and B are in the ratio 3:2 and their expenditure in the ratio 5:3 . if each saves rs 1500 then B's income is​

Answer 1

Let income of A and B be 3x and 2x respectively. Also, their expenditure is 5y and 3y.
⇒ Now, according to question,
⇒ 3x−5y=1000 ---- ( 1 )
⇒ 2x−3y=1000 ----- ( 2 )
⇒ Now, multiplying equation ( 1 ) by 3 and ( 2) by 5.
⇒ 9x−15y=3000 ---- ( 3 )
⇒ 10x−15y=5000 ----- ( 4 )
⇒ x=2000 [Subtraction equation ( 3 ) from equation ( 4 ) ]
⇒ Then, income of A = 3x=Rs.(3×2000)=Rs,.6000.