Question

the income of a is 2/3 of b s income and the expenditure of a is 3/4 of b;s expenditure.if one third income of b is equal to the expenditure of a then the ratio of savings of a and b js​

Answer 1

Answer:

3:5

Step-by-step explanation:

Let income of A and B be a, b respectively.

Let expenditure of A and B be x, y respectively.

Income - Expenditure = Savings

The income of a is 2/3 of b s income.

$a = \frac{2}{3} b$

the expenditure of a is 3/4 of b's Expenditure

$x = \frac{3}{4} y$

one third income of b is equal to the expenditure of a

$\frac{1}{3} b = x$

Savings of A = a -x ( in terms of b)

$a - x = \frac{2}{3} b - \frac{1}{3} b = \frac{1}{3} b$

Savings of B = b - x ( in terms of b)

$b - y = b - \frac{4}{3} x = b - \frac{4}{3} \times \frac{1}{3} b = \frac{5}{9} b$

Ratio of savings of A and B = 1/3 b : 5/9 b

= 3:5