Question

A and B have incomes in the ratio 7: 5. They spend in the ratio 3: 2 and each saves Rs.45. Find A and B

incomes respectively​

Answer 1

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⇒  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.