Question:
What is the profit percentage?
Statement I
I. The cost price is 80 of the selling price.
Statement II
II. The profit is Rs. 50.
What is the profit percentage?
Statement I
I. The cost price is 80 of the selling price.
Statement II
II. The profit is Rs. 50.
Statement I
I. The cost price is 80 of the selling price.
Statement II
II. The profit is Rs. 50.
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Percentage problems require a ratio or proportion; absolute values alone aren’t enough unless the base is given.
Updated On: Aug 6, 2025
- The question can be answered with the help of statement I alone.
- The question can be answered with the help of statement II alone.
- Both statement I and statement II are needed to answer the question.
- The question cannot be answered even with the help of both the statements.
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The Correct Option is A
Solution and Explanation
Step 1: Analysing Statement I
If CP = 80% of SP, then CP = 0.8 × SP.
Profit = SP − CP = SP − 0.8SP = 0.2SP.
Thus, Profit% = (Profit / CP) × 100 = (0.2SP / 0.8SP) × 100 = 25%.
Hence, Statement I alone gives the answer.
Step 2: Analysing Statement II Statement II only gives profit in rupees, but without CP or SP, percentage cannot be compute(d) Step 3: Conclusion Only Statement I is sufficient.
Profit = SP − CP = SP − 0.8SP = 0.2SP.
Thus, Profit% = (Profit / CP) × 100 = (0.2SP / 0.8SP) × 100 = 25%.
Hence, Statement I alone gives the answer.
Step 2: Analysing Statement II Statement II only gives profit in rupees, but without CP or SP, percentage cannot be compute(d) Step 3: Conclusion Only Statement I is sufficient.
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