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Salary of A and B is in ration 3:4 and expenditure is in ratio 4:5. What is the ratio of their saving?
I. B's saving is 25% of his salary.
II. B's salary is ₹ 2500.
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- if the data in Statement I alone is sufficient to answer the question but the data in Statement II alone is not sufficient to answer the question.
- if the data in Statements II alone is sufficient to answer the question but the data in Statement I alone is not sufficient to answer the question.
- if the data in Statement I and II together are necessary to answer the question.
- if the data in Statement I and II together are not sufficient to answer the question.
- if the data in Statement I alone is sufficient to answer the question but the data in Statement II alone is not sufficient to answer the question.
Correct Option: A
Given that their salaries are in the ratio of 3:4 and expenditure is in the ratio of 4:5 hence we can assume that salary of A and B are 3x and 4x and their expenditures are 4y and 5y.
Now we need to find the ratio of (3x - 4y)/(4x - 5y)
Consider statement I alone:
Giving of B is 25% of his salary hence his expenditure must be 75% so 3/4(4x) = 5y or 3x = 5y from this we can find the required ratio hence this statement is sufficient.
Consider statement II alone :
Given that 4x = 2000 or x = 500 but from this we can not find the value of y and hence we can not find the ratio of their savings.