Cost price of 90 articles is same as the selling price of 80 articles. What is the profit or loss percentage obtained through this transaction?Question 13Answera.12.5% profitb.8.5% profitc.7.5% profitd.12.5% Loss
Question
Cost price of 90 articles is same as the selling price of 80 articles. What is the profit or loss percentage obtained through this transaction?Question 13Answera.12.5% profitb.8.5% profitc.7.5% profitd.12.5% Loss
Solution
The problem states that the cost price of 90 articles is the same as the selling price of 80 articles. This means that 10 articles are sold at the cost price of 90 articles, which implies a profit.
To calculate the profit percentage, we need to find the ratio of profit to cost price, and then multiply it by 100.
Step 1: Determine the profit. The profit is the selling price of 10 articles (since 90 articles are sold for the price of 80, the extra 10 articles are pure profit).
Step 2: Determine the cost price. The cost price is the price of 90 articles.
Step 3: Calculate the profit percentage. The profit percentage is (Profit / Cost price) * 100.
Since the profit and the cost price are proportional to the number of articles, we can simplify the calculation by considering the price of one article.
So, the profit for one article is (Selling price of 1 article - Cost price of 1 article). From the problem, we know that the selling price of 1 article is (Cost price of 90 articles / 80) and the cost price of 1 article is (Cost price of 90 articles / 90).
Therefore, the profit for one article is ((Cost price of 90 articles / 80) - (Cost price of 90 articles / 90)).
Simplifying this, we get the profit for one article is (Cost price of 90 articles / 720).
The profit percentage is then ((Cost price of 90 articles / 720) / (Cost price of 90 articles / 90)) * 100 = 12.5%.
So, the answer is a. 12.5% profit.
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