The ratio of income of a to that of b is 5:4 and the expenditure of a to that of b is 3:2. If at the end of the year, each saves rs. 800, then what is the income of a
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how are things going with u a half hour or two and a great day today and I have a great weekend and a half day and a good
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Explanation:
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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