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Incomes of A and B are in the ratio x : y and their expenditure are in the ratio of w : z. If both save equal amount of $M each, what will be the income of A?



A. M (xz – wy)/(z – w))
B. M xy/(w + z)
C. M xy/(xz – wy)
D. M (x + y)/(xz – wy)
E. M x (z – w)/(xz – wy)
Asked by Thomas, Last updated: Jun 19, 2020

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John Smith

John Smith

Answered Sep 08, 2016

M x (z – w)/(xz – wy)-ans: (e) (let total income of both is $i. so as income = i x /(x + y) and bs income = i y/(x + y) also expenditure of a = income saving = [i x /(x + y)] m and expenditure of b = [i y /(x + y)] m the ratio of expenditures is w : z so {[i x /(x + y)] m} : {[i y /(x + y)] m} = w : z or [i x m (x + y)] : [i y m (x + y)] = w : z or z [i x m (x + y)] = w [i y m (x + y)] or i (xz wy) = m (x + y) (z w) or i = m (x + y) (z w) / (xz wy) so as income = i x /(x + y) or = m x (z w)/(xz wy))
 

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