SOLUTION: 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 ?

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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 ?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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%2F%281.5x%29 = 4%2F3
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%2F%28.5x%29 = 2:1 is the savings ratio