Question

A trader makes a profit equal to the selling price of 75 articles when he sells 100 of the articles. What percentage profit did he make in the transaction?

• A. 33.33%
• B. 75%
• C. 300%
• D. 150%

Hint:

Set profit = 75 times the per-unit SP and total revenue = 100 times the per-unit SP, then solve for SP in terms of CP.

Answer 1

The Correct Option is C

Picking a convenient cost price makes this quick to verify with real numbers.

1. Suppose the cost price of one article is Rs. 1, so 100 articles cost Rs. 100.
2. We are told the profit on 100 articles equals the selling price of 75 articles, so if the selling price per article is $s$, then profit $= 75s$.
3. Also, profit $=$ total selling price $-$ total cost price $= 100s - 100$.
4. Setting these equal: $75s = 100s - 100 \Rightarrow 100 = 25s \Rightarrow s = 4$.
5. So each article sells for Rs. 4 against a cost of Rs. 1, a profit of Rs. 3 on every Rs. 1 spent, which is $300\%$.

So the correct answer is option C, 300%.