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 trader sold two washing machines each for ₹ 7392. What was his total profit or loss on these two transactions? I. On one transaction he got a profit of 12% on investment II. On the other transaction he suffered a loss of 4% on investment.

### Concept & Logic Total profit or loss requires calculating the sum of both Selling Prices (Total SP) and the sum of both Cost Prices (Total CP). $$ \text{Total Profit/Loss} = \text{Total SP} - \text{Total CP} $$ ### Step-by-Step Solution * **Target:** Total Profit or Loss (in ₹). * **Given:** $\text{SP}_1 = \text{₹ } 7392$ and $\text{SP}_2 = \text{₹ } 7392$. Total SP = $7392 \times 2 = 14784$. We need Total CP ($\text{CP}_1 + \text{CP}_2$). * **Evaluate Statement I:** Profit on machine 1 = 12% on investment (CP). * $1.12 \times \text{CP}_1 = 7392 \Rightarrow \text{CP}_1 = \frac{7392}{1.12} = 6600$. * We do not have information about the second machine to find $\text{CP}_2$. Not sufficient. * **Evaluate Statement II:** Loss on machine 2 = 4% on investment (CP). * $0.96 \times \text{CP}_2 = 7392 \Rightarrow \text{CP}_2 = \frac{7392}{0.96} = 7700$. * We do not have information about the first machine to find $\text{CP}_1$. Not sufficient. * **Evaluate Both Together:** * We have $\text{CP}_1 = 6600$ and $\text{CP}_2 = 7700$. * Total CP = $6600 + 7700 = 14300$. * Total Profit = Total SP - Total CP = $14784 - 14300 = \text{₹ } 484$. * We need both statements to find the total profit. ### Exam Strategy & Shortcut For multi-item transactions where individual final results are asked cumulatively, you must resolve the cost and selling prices for each distinct item. One statement gives the condition for item A, the other for item B. Naturally, both are needed for a "total" metric. ### Common Pitfall Assuming the profit and loss percentages offset each other directly without calculating the underlying Cost Prices, which differ. ### Final Answer Therefore, the correct answer is **if the data in both Statements I and II together are necessary to answer the question.**.