Question

The incomes of A und B are in the nautics 4:8 Eauch saves Rs. 3000 cound the soutio of 야 the is expenditure is 4:5find their incomes.​

Answer 1

Answer:

Correct option is

C

Rs.4000

Let their income be x and expenditure be y.

A  

′

s income =5x

B  

′

s income =4x

A  

′

s expenditure =3y

B  

′

s expenditure =2y

Save money =Rs.1600

⇒  Income - expenditure = saves

⇒ 5x−3y=1600     ---- ( 1 )

⇒  4x−2y=1600    --- ( 2 )

Multiply equation ( 1 ) by 2 and equation ( 2 ) by 3, we get,

⇒  10x−6y=3200      ---- ( 3 )

⇒  12x−6y=4800      ---- ( 4 )

By subtracting ( 4 ) from ( 1 ) we get,

⇒  x=800

⇒  Income of A=5x=5×800=Rs.4000

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