Solve this multiple-choice question and choose the correct option.

Concept & Logic: To find the actual profit amount, you need the Selling Price (SP) and the Cost Price (CP). Since the actual SP is provided in the question stem (₹ 26250), any statement that allows you to calculate the CP (or the profit directly) will be sufficient. Step-by-Step Solution: • Target: Find Profit. Given: SP = 26250. • Evaluate Statement I: Cost price of 5 laptops = Selling price of 4 laptops. • 5 × CP = 4 × SP • We know SP = 26250, so 5 × CP = 4 × 26250. • 5 × CP = 105000 \Rightarrow CP = 21000. • Profit = SP - CP = 26250 - 21000 = ₹ 5250. • Statement I gives a definitive answer. Sufficient alone. • Evaluate Statement II: 25% profit is earned by selling each laptop. • SP = CP + 0.25CP = 1.25CP. • 26250 = 1.25CP \Rightarrow CP = (26250/1.25) = 21000. • Profit = SP - CP = 26250 - 21000 = ₹ 5250. • Statement II also gives a definitive answer. Sufficient alone. Exam Strategy & Shortcut: Realize that both statements are essentially providing the exact same profit markup. 5CP = 4SP means SP/CP = 5/4 = 1.25, which is exactly a 25% profit. Since both statements provide the profit ratio, and the absolute SP is known, either one uniquely solves the problem. Common Pitfall: Calculating the entire final answer out of habit. In Data Sufficiency, once you set up the equation 5CP = 4(26250) and realize it has only one unknown (CP), you can stop and mark it sufficient to save time. Final Answer: Therefore, the correct answer is if the data either in Statement I or in Statement II alone are sufficient to answer the question;.

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. What is the profit earned by selling a laptop for ₹ 26250? (Bank P.O., 2009) I. The cost price of 5 such laptops is equal to selling price of 4 such laptops. II. 25% profit is earned by selling each laptop.

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;

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;

if the data even in both Statements I and II together are not sufficient to answer the question;

if the data in both Statements I and II together are necessary to answer the question.

[Solved] Directions: Each of the questions given below

Answer

Correct Answer: if the data either in Statement I or in Statement II alone are sufficient to answer the question;

Explanation

### Concept & Logic To find the actual profit amount, you need the Selling Price (SP) and the Cost Price (CP). Since the actual SP is provided in the question stem (₹ $26250$), any statement that allows you to calculate the CP (or the profit directly) will be sufficient. ### Step-by-Step Solution * **Target:** Find Profit. Given: $\text{SP} = 26250$. * **Evaluate Statement I:** Cost price of $5$ laptops = Selling price of $4$ laptops. * $5 \times \text{CP} = 4 \times \text{SP}$ * We know $\text{SP} = 26250$, so $5 \times \text{CP} = 4 \times 26250$. * $5 \times \text{CP} = 105000 \Rightarrow \text{CP} = 21000$. * $\text{Profit} = \text{SP} - \text{CP} = 26250 - 21000 = \text{₹ } 5250$. * Statement I gives a definitive answer. Sufficient alone. * **Evaluate Statement II:** $25\%$ profit is earned by selling each laptop. * $\text{SP} = \text{CP} + 0.25\text{CP} = 1.25\text{CP}$. * $26250 = 1.25\text{CP} \Rightarrow \text{CP} = \frac{26250}{1.25} = 21000$. * $\text{Profit} = \text{SP} - \text{CP} = 26250 - 21000 = \text{₹ } 5250$. * Statement II also gives a definitive answer. Sufficient alone. ### Exam Strategy & Shortcut Realize that both statements are essentially providing the exact same profit markup. $5\text{CP} = 4\text{SP}$ means $\text{SP}/\text{CP} = 5/4 = 1.25$, which is exactly a $25\%$ profit. Since both statements provide the profit ratio, and the absolute SP is known, either one uniquely solves the problem. ### Common Pitfall Calculating the entire final answer out of habit. In Data Sufficiency, once you set up the equation $5\text{CP} = 4(26250)$ and realize it has only one unknown ($\text{CP}$), you can stop and mark it sufficient to save time. ### Final Answer Therefore, the correct answer is **if the data either in Statement I or in Statement II alone are sufficient to answer the question;**.