(8) The pocket money of A B and C are Rs. 600, Rs.500 and
Rs.550, respectively. Find the
(a) ratio of pocket money of A to that of B.
(b) ratio of pocket money of A to that of C.
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Step-by-step explanation:
⇒ 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.
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