Monthly income of three friends A, B and C are such that they spend 30%, 50% and 60% respectively of their income. What is the difference between savings of A and C?Statement I: B saves Rs.12000 every month which is Rs.3000 less than expenditure of A.Statement II: Sum of monthly income of A and C is Rs.80000 and C spends Rs.18000 every month.Select one:a. Statement II alone is sufficient.b. Statement I alone is sufficient.c. Both statements I and II together are sufficient.d. Either statement I or II alone is sufficient.e. Both statements I and II together are not sufficient.
Question
Monthly income of three friends A, B and C are such that they spend 30%, 50% and 60% respectively of their income. What is the difference between savings of A and C?Statement I: B saves Rs.12000 every month which is Rs.3000 less than expenditure of A.Statement II: Sum of monthly income of A and C is Rs.80000 and C spends Rs.18000 every month.Select one:a. Statement II alone is sufficient.b. Statement I alone is sufficient.c. Both statements I and II together are sufficient.d. Either statement I or II alone is sufficient.e. Both statements I and II together are not sufficient.
Solution
To solve this problem, we need to find the savings of A and C. Savings can be calculated as income minus expenditure.
Let's analyze each statement:
Statement I: B saves Rs.12000 every month which is Rs.3000 less than expenditure of A. From this statement, we can find that A's expenditure is Rs.15000. However, we don't know A's income, so we can't find A's savings. Also, this statement gives no information about C. So, statement I alone is not sufficient.
Statement II: Sum of monthly income of A and C is Rs.80000 and C spends Rs.18000 every month. From this statement, we know that C's savings is his income minus Rs.18000. But we don't know C's income. Also, we don't know A's income or expenditure, so we can't find A's savings. So, statement II alone is not sufficient.
If we combine both statements, we can find A's savings from statement I and C's savings from statement II. So, both statements together are sufficient.
Therefore, the answer is c. Both statements I and II together are sufficient.
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