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.

• A. The question can be answered with the help of statement I alone.
• B. The question can be answered with the help of statement II alone.
• C. Both statement I and statement II are needed to answer the question.
• D. The question cannot be answered even with the help of both the statements.

Hint:

Percentage problems require a ratio or proportion; absolute values alone aren’t enough unless the base is given.

Answer 1

The Correct Option is A

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.