Question

the montly income of A and B are in the ratio of 5:4 and their monthly expenditurses are in the ratio pf 7:5 . If each saves Rs 3000 per month,find the monthly income of each

Answer 1

Answer:

Step-by-step explanation:

Given,  

Ratio between income of A and B is = 5:4

Ratio between expenditure of  A and B is = 7:5

Now, consider the monthly income of the A = 5x and B = 4x and their expenditure are 7y and 5y respectively

We know that  (Savings = Income – expenditure)

That means the savings of A is = (5x-7y) =3000 ........ Equation -1

Saving of B is (4x-5y) =3000........equation -2

By multiplying the equation -1 by 5 and equation -2 by 7 we get  

$25x-35y=15000$ ...............equation-3

$28x-35y=21000$................equation -4

Now subtracting equation 3 from equation 4 we get

$](28x-35y)-(25x-35y)=21000-150000\\\\\Rightarrow28x-35y-25x+35y=6000\\\\\Rightarrow3x=6000\\\\\Rightarrowx=2000$Now put the value of x=2000 we get  

Therefore the income of A is $=5\times2000=10000$ and income of B is[tex] = 4\times2000=8000[tex]