Question 867154
The ratio of A and B is 3:2.
 the ratio of their expenditure is 4:3.
 if B spends 3/4th of his income, what is the ratio of their savings ?
:
let x = the multiplier
then
3x = A's amt
2x = B's amt
:
B spends .75(2x) = 1.5x
let e = A expenditure
the expenditure relationship; 4:3
{{{e/(1.5x)}}} = {{{4/3}}}
cross multiply
3e = 4(1.5x)
3e = 6x
e = 2x is A's expenditure
:
saveings
A: 3x - 2x = x
B: 2x -1.5x = .5x
Save ratio
{{{1x/(.5x)}}} = 2:1 is the savings ratio