Question:
What was the percentage of defective items produced in the factory?
I) The factory produced 50,000 items in total.
II) The factory produced 2,500 defective items.
What was the percentage of defective items produced in the factory?
I) The factory produced 50,000 items in total.
II) The factory produced 2,500 defective items.
I) The factory produced 50,000 items in total.
II) The factory produced 2,500 defective items.
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To find a percentage, always ensure both the part and the total are known. Missing either makes the data insufficient.
Updated On: Apr 21, 2026
- Statement I alone is sufficient to answer the question
- Statement II alone is sufficient to answer the question.
- Statement I and II together are sufficient to answer the question but neither statement alone is sufficient.
- Statement I and II together are not sufficient to answer the question and additional data is required.
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The Correct Option is C
Solution and Explanation
Concept:
Percentage is calculated as:
\[
{Percentage} = \frac{{Defective items}}{{Total items}} \times 100
\]
Both numerator and denominator are required.
Step 1: Analyze Statement I alone.
Total items = 50,000
Number of defective items is not given.
Statement I alone is NOT sufficient.
Step 2: Analyze Statement II alone.
Defective items = 2,500
Total number of items is not given.
Statement II alone is NOT sufficient.
Step 3: Combine both statements.
\[ {Percentage} = \frac{2500}{50000} \times 100 = 5% \] A unique value is obtained.
Hence, both statements together are sufficient, but neither alone is sufficient.
Step 1: Analyze Statement I alone.
Total items = 50,000
Number of defective items is not given.
Statement I alone is NOT sufficient.
Step 2: Analyze Statement II alone.
Defective items = 2,500
Total number of items is not given.
Statement II alone is NOT sufficient.
Step 3: Combine both statements.
\[ {Percentage} = \frac{2500}{50000} \times 100 = 5% \] A unique value is obtained.
Hence, both statements together are sufficient, but neither alone is sufficient.
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