Question:
What is the buying cost of the shirt?
Statements:
I) The shirt was sold for Rs.800 at a 20% profit.
II) The difference between the selling price and the cost price is Rs.160.
What is the buying cost of the shirt?
Statements:
I) The shirt was sold for Rs.800 at a 20% profit.
II) The difference between the selling price and the cost price is Rs.160.
I) The shirt was sold for Rs.800 at a 20% profit.
II) The difference between the selling price and the cost price is Rs.160.
Show Hint
In data sufficiency, check each statement independently before combining.
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 A
Solution and Explanation
Concept:
Check sufficiency of each statement.
Step 1: Using Statement I.
\[ {SP} = 800,\quad {Profit} = 20% \] \[ {CP} = \frac{800}{1.2} = 666.\overline{6} \] So, CP can be determined.
Step 2: Using Statement II.
\[ {SP} - {CP} = 160 \] This alone is not sufficient to find CP. Conclusion:
Statement I alone is sufficient.
Step 1: Using Statement I.
\[ {SP} = 800,\quad {Profit} = 20% \] \[ {CP} = \frac{800}{1.2} = 666.\overline{6} \] So, CP can be determined.
Step 2: Using Statement II.
\[ {SP} - {CP} = 160 \] This alone is not sufficient to find CP. Conclusion:
Statement I alone is sufficient.
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