Question

YEAR 12 Ratio of income of A to that of B is 5: 9. If expenditure of A is (3/8)th of his income and expenditure of B is (4/9)th of his income and sum of their saving is Rs. 1950 then find the difference between their income? A В. Rs. 100 Rs.960 Rs.900 Rs.500 C.​

Answer 1

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The ratio of the incomes of A and B is 5:4 and the ratio of their expenditures is 3:2. If at the end of the year, each saves Rs.1600, then the income of A is:

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Solution

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Correct option is C)

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