Question

the monthly income of a and b are in the ratio 4:5,their expenses are in the ratio 5:6 if A saves rs 25 per month and b saves rs 50 per month what are their respective incomes

Answer 1

Answer:

Step-by-step explanation:

Let their respective incomes be 4x and 5x

Their expenditure be 5y and 6y respectively

Person A:

4x-5y=25

B:

5x-6y=50

By eliminationmethod y= 65

Therefore x=87.5

Income of A =350

Income of B =437.5

Answer 2

Answer:

Let A:B incomes be 4x:5x and their expenditure be 5y:6y

We know that Income - Expenditure = Savings. Hence:

4x - 5y = 25 and 5x - 6y = 50.

Multiplying the first by 5 and second by 4 we get::

20x - 25y = 125

20x - 24y = 200 hence y =75

Therefore 4x - 5*75 =25 hence 4x = 25+ 375 =₹400/- which is A's monthly income..(1)

Therefore B's monthly income is ₹500/- ..(2)