Directions: Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and: Give answer (a) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question; Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question; Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question; Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question; Give answer (e) if the data in both Statements I and II together are necessary to answer the question. A and B are in a partnership business of one year. At the end of the year, a profit of ₹ 20,000 was earned. What is A's share? I. A invested ₹ 50,000. II. B withdrew his capital after 8 months.

### Concept & Logic In a partnership, the profit share depends on the "Capital $\times$ Time" product for each partner. To find one partner's share from the total profit, we must know the ratio of these products for all partners. ### Step-by-Step Solution * Given: Total profit = ₹ 20,000. Time for A = 12 months (since it's a one-year business and B withdrew early). * **From Statement I:** A's investment is ₹ 50,000. We don't have B's investment or time. Insufficient. * **From Statement II:** B's time is 8 months. We don't have A's or B's investment. Insufficient. * **Combining I and II:** We have A's investment (₹ 50,000) and time (12 months), and B's time (8 months). However, B's investment amount is still completely unknown. We cannot form the ratio of their equivalent capitals. Thus, we cannot determine A's share. ### Exam Strategy & Shortcut Quickly check for the necessary components: $Investment_A$, $Time_A$, $Investment_B$, $Time_B$. Here, $Investment_B$ is never provided in the prompt, Statement I, or Statement II. Thus, it's impossible to solve even with both statements. ### Common Pitfall Assuming missing information (like B's investment being equal to A's) which is not explicitly stated. Never assume data not provided. ### Final Answer Therefore, the correct answer is **if the data even in both Statements I and II together are not sufficient to answer the question;**.