Question

Annual income of A and B is in the ratio of $4:3$ and this annual expenses bear a ratio of $3:2$. If each of them saves $Rs.600$ at the end of the year, the annual income of A is,

Answer 1

Let their income be $4x$ and $3x$.

Let their expenditure be $3y$ and $2y$

We know that

$Income-Exp=Saving$

So,

$4x-3y=600$

$3x-2y=600$

On solving

$8x-6y=1200$

$-9x+6y=1800$

Hence on adding these equations,

$x=600$

$y=600$

Income of $A=4\times 600=Rs2400$

Hence, this is the answer.