The cost price of 13 articles equals the selling price of 11 articles. Find the profit percentage?
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Answer: B. 18 2/11%
Explanation
Equating thirteen times cost price to eleven times selling price establishes the selling to cost ratio. The resulting profit proportion equals two parts gained over eleven parts cost basis. Converting the fraction two over eleven into a percentage yields eighteen and two-elevenths percent. Profit percentage is calculated by dividing total profit by the cost price and multiplying by one hundred. Equating quantities of sold and bought articles creates a direct ratio for margin analysis. Fractional percentages often convert into mixed numbers with recurring decimal equivalents.
Wholesale traders frequently buy and sell merchandise in fixed quantity lots to secure profits. Merchants evaluate article-based trading ratios to ensure favorable profit margins on inventory turnover. Understanding quantitative trade relationships helps businesses optimize wholesale purchasing contracts. Option A suggests fifteen and five-fifteenths percent which simplifies incorrectly and misses the ratio. Option C suggests sixteen and two-thirds percent which corresponds to a different article ratio. Option D suggests thirty percent which overstates the actual calculated profit margin.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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