Saving = S, Expenditure = E, Income = I
At the end of 12months; 12S=3E=3(I-E)
=> 15S = 3I => Savings = 1/5
Hence Expenditure = 1-(1/5) = 4/5
Answer (D)__________________________________________________________
A simpler way which helped me solve the problem in 15 sec.
Analyze the ans needs to be in the form = Expenditure / IncomeHence
[3 times the numerator of the answer choices = 12 times the difference (Numerator - Denominator)]So ..
(A) 1/2 => 3 x (1) = 12 x (2-1) ... Incorrect
(B) 2/3 => 3 x (2) = 12 x (3-2) ... Incorrect
(C) 1/4 => 3 x (1) = 12 x (4-1) ... Incorrect
(D) 4/5 => 3 x (4) = 12 x (5-4) ... Correct(E) 5/6 => 3 x (5) = 12 x (6-5) ... Incorrect
Hope the post helped
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