( 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  and  is  and the ratio of their expenditures is . If at the end of the year, each saves , then the income of  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. 

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