( Solved) 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:

 Question :

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:

A. 3400

B. 3600

C. 4000

D. 4400

Solution :

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 = 1600 RS.

Income - expenditure = sabes

So, 5X - 3Y = 1600...... 1)

       4X - 2y = 1600.......2)

Equation (1) is multiply by 2 and equation (2) by 3,

10X - 6y = 3200.....3)

12X - 6y = 4800.....4)

Here,

X = 800

A's income = 5X

                    = 5 × 800

                    = 4000 RS.

Option (c) is answer.

Any queries in Solution please comment below.