Question

The ratio of the incomes of $A,B$ and $C$ is $3:7:4$ and the ratio of their expenditure is $4:3:5$. If in the income of $Rs.2400$, A saves $Rs.300$ then the savings of $B$ and $C$ is respectively are

• A. $Rs.4025$ and $Rs.575$
• B. $Rs.1575$ and $2625$
• C. $Rs.2750$ and $Rs.1025$
• D. $Rs.3725$ and $Rs.1525$

Answer 1

The correct option is A $Rs.4025$ and $Rs.575$

The ratio of income of $A,B,C$ is $3:7:4$ respectively.

Let the income be $3x,7x,4x$ respectively.

The ratio of expenses of $A,B,C$ is $4:3:5$ respectively.

Let the expenditure be $4y,3y,5y$ respectively.

It is given that the income of $A$ is $2400$.

$⟹3x=2400⟹x=800$

The value of $x$ is $800$, therefore the income of $A,B,C$ is $2400,5600,3200$ respectively.

Expenditure =income-saving

Expense=$2400-300=2100$

The expenses of $A$ is $2100$.

$⟹4y=2100⟹y=525$

The value of $y$ is $525$, therefore the expenditure of $A,B,C$ is $2100,1575,2625$ respectively.

Saving of $b$ is $5600-1575=4025$

Saving of $C$ is $3200-2625=575$

Therefore the saving of $B$ is $Rs.4025$ and the saving of $C$ is $Rs.575$.