On selling 100 Articles a trader makes a profit equal to the S.P of 50 articles. Find his gain %. Options :50200100none
Question
On selling 100 Articles a trader makes a profit equal to the S.P of 50 articles. Find his gain %. Options :50200100none
Solution
The problem states that the profit made by the trader is equal to the selling price of 50 articles. This means that the cost price of 100 articles is equal to the selling price of 50 articles.
Let's denote the cost price of one article as 'C' and the selling price of one article as 'S'.
From the problem, we know that:
100C = 50S
Solving for S, we get:
S = 2C
This means that the selling price of one article is twice the cost price of one article.
The gain percentage is calculated as:
Gain % = (S - C) / C * 100%
Substituting S = 2C into the equation, we get:
Gain % = (2C - C) / C * 100% = C / C * 100% = 100%
So, the trader makes a gain of 100%.
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