Question

incomes of A B,C are in the ratio 1:2:3 while their expenditure are in the ratio 2:3:4 if A saves one third of his income , find the ratio of their savings

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Answer 1

56 : 99 : 69

Description for Correct answer:

let the income of A, B and C are 7x, 9x and 12x respectively

=> and expenditure of A, B and C are 8y, 9y and 15y respectively

=> income of A×14= saving of A (given)

=> 7x - 8y = 7x×14

=> 28x - 32y = 7x

=> 21x = 32y

x : y

=> 32 : 21

∴ The ratio of savings of A, B and C

=> (7x - 8y) : (9x - 9y) : (12x - 15y)

=> (7×32−8×21):(9×32−9×21):(12×32−15×21)

=> (224 - 168) : (288 - 189) : (384 - 315)

56 : 99 : 69

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