Data Sufficiency — Sales computation: How many New Year's greeting cards were sold this year in your shop? Statement I: Last year 2,935 cards were sold. Statement II: This year's sales were 1.2 times last year's sales. Decide which statement(s) are sufficient to compute this year's total. Choose the correct sufficiency option.
Verbal Reasoning
Data Sufficiency
Difficulty: Easy
Choose an option
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AStatement I alone is sufficient, but Statement II alone is not sufficient.
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BStatement II alone is sufficient, but Statement I alone is not sufficient.
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CBoth statements I and II together are sufficient, but neither alone is sufficient.
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DEither statement I or statement II alone is sufficient.
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EEven both statements I and II together are not sufficient.
Answer
Correct Answer: Both statements I and II together are sufficient, but neither alone is sufficient.
Explanation
Why not I alone?I gives only last year’s number (2,935), not this year’s ratio ⇒ insufficient.
Why not II alone?II gives a multiplier (1.2×) but no base number ⇒ insufficient.
Combine I + IIThis year = 1.2 × 2,935 = (12/10) × 2,935 = 3522 cards.Final AnswerBoth statements together are sufficient (and they yield 3,522).