The ratio of the incomes of a and b is 4:3. the ratio of the savings of a and b is 5:6. find the ratio of the expenditures of a and b, if a spends three-fourth of his income.
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Let income of A and B be 3*x and 4*x respectively.
Their expenditures be 4*y and 5*y.
Thus, savings of A and B will be 3*x-4*y and 4*x-5*y respectively
Given situation is,
4∗x−5∗y=1/3∗4x
12∗x−15∗y=4x
8∗x=15∗y
Therefore, ratio of their savings=
(3∗x−4∗y)/(4∗x−5∗y)
=(3∗x−4∗8∗x/15)/(4∗x−5∗8∗x/15)
=(15∗3–8∗4)/(15∗4–5∗8)
=13/20
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