How much was the total sale of the company? Statements: I. The company sold…
2024
How much was the total sale of the company?
Statements:
I. The company sold 8000 units of product A, each costing Rs. 25.
II. The company does not sell any product other than product A.
- A.
The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
- B.
The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
- C.
If the data in either in statement I alone or in statement II alone is sufficient to answer the question
- D.
If the data in both the statements I and II together is sufficient to answer the question
Show answer & explanation
Correct answer: D
Concept: In a Data Sufficiency question, a statement (or combination of statements) is sufficient only if it lets you compute a single, unique numeric answer to the question by itself, using no information beyond what is stated. If a statement alone leaves the answer undetermined, it is insufficient; the statements are sufficient together only when their combination closes every gap the individual statements leave open.
Statement I alone: gives the units (8000) and price per unit (Rs. 25) of product A, fixing product A's own sales at 8000 x 25 = Rs. 200000. It says nothing about whether the company sells anything besides product A, so the company's total sale stays undetermined from Statement I alone.
Statement II alone: states the company sells no product other than product A, but supplies no sales figures at all, so no numeric total can be computed from Statement II alone.
Statements I and II together: Statement I fixes product A's sales at Rs. 200000, and Statement II confirms the company sells no product other than product A, so product A's sales equal the company's total sale. Together they yield one determinable value: Rs. 200000.
Cross-check: neither statement alone yields a fixed total sale figure, but the combination does, confirming that both statements together -- and only together -- answer the question.