Question

If in ratio and proportion the income and saving is given how to find expenditure

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.

Answer 2

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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)

= Rs6000.

[ From above example, You can learn how to find expenditure ]

Hope it helps, Thanks..