Question

Ration of incom of A and B is 3:2 ,The ratio of their expenditure is 4:3. Find out the income of A and B. if there savings are 2000 and 1000 rps respectively ​

Answer 1

Answer:

⇒ 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.

Step-by-step explanation:

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Answer 2

⇒ 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.