Question

And b income in the ratio of 5:4,and where expenditure in the ratio of 14:11 if they saves 1000 rs each then what is the total income of a?

Answer 1

Answer:

Rs. 3000

Step-by-step explanation:

Let Income be x and expenditure y.

Let Income of A = 5x

Let Income of B = 4x.

Let Expenditure of A = 14y.

Let Expenditure of B = 11y

Hence below two equations can be formed:

5x - 14y = 1000  ===> Equation 1

4x - 11y = 1000 ======> Equation 2

Now multiply equation 1 by 4 and equation 2 by 5. Then subtract equation 2 from equation 1.

(20x - 56y - 4000) - (20x - 55y - 5000) = 0

20x - 56y - 4000 - 20x + 55y + 5000 = 0

   - y + 1000 = 0

     y = 1000.

//substituting back in the equation 1.

5x - 14000 = 1000

5x = 15000

x = 3000

Thus total income of A = Rs. 3000