monthly income of A is 26% more than than that of Monthly saving of B is same as monthly expenditure of A.
Answers
Step-by-step explanation:
The ratio of monthly income of A and B is 3:4 and that of their expenditures is 4:5. Which of the following represents a possible value of the ratio of their saving, 9:10, 3:4, 13:20 or 4:5? I know the answer is 13:20. Why is that?
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As per the question:
A’s & B’s , income ratio= 3:4 ie, their income is 3x & 4x
Expenditure ratio = 4:5, ie, their expenditure = 4y & 5y..
Now, since we need to calculate the ratio of their differences ie, (3x-4y) : (4x-5y)
For this it impiles that x>y to make the savings positive.
If we try to put all the ratio’s one by one
From ( 9:10) We get x:y = 5:6 ( so it contradicts the condition of saving is to be positive).
From (3:4) We get y=0( which is not possible because expenditure can’t be 0).
From ( 13:20) We get x:y = 15:8 ( so it satisfies the condition of saving is to be positive).
From (4:5) We get x=0( which is not possible because Income can’t be 0).
so from the above deduction 13:20 is the only ratio.