The ratio of monthly incomes of A and B is 4 : 5 and that of their monthly expenditures is 3 : 8. If the income of A is equal to the expenditure of B, then what is the ratio of savings of A and B?
The ratio of monthly incomes of A and B is 4 : 5.
Let the monthly incomes of A and B are 4p and 5p respectively.
The income of A is equal to the expenditure of B.
Monthly expenditure of B = 4p
The ratio of monthly expenditures of A and B is 3 : 8.
Monthly expenditure of A =Â $$\frac{3}{8}\times$$4p =Â $$\frac{3}{2}$$p
The ratio of savings of A and B = (4p -Â $$\frac{3}{2}$$p) : (5p - 4p)
=Â $$\frac{5}{2}$$p : p
= 5 : 2
Hence, the correct answer is Option D
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