What percentage profit is secured by vending a product at a set price, given that pricing it at 2/3rd of that figure incurs a 20% deficit?
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Answer: A. 20%
Explanation
Vending at two thirds of the selling price incurs a twenty percent deficit relative to cost price. Equating two thirds selling price to eighty percent of cost price establishes their direct ratio. Solving the relationship shows the original selling price equals one hundred twenty percent of cost price. Profit and loss percentages are always calculated relative to the original cost price of the item. A deficit or loss of twenty percent means the selling price equals eighty percent of cost. Pricing ratios allow merchants to determine target profit margins across different sales strategies.
Retail merchants use cost and selling price relationships to set discount promotional events safely. Business accounting requires tracking profit margins to evaluate overall operational profitability. Commercial pricing strategies balance profit markups against consumer demand elasticity. Option B suggests twenty five percent which incorrectly calculates the profit margin ratio. Option C proposes thirteen and one thirtieth percent which fails to match the algebraic derivation. Option D offers twelve percent which underestimates the profit secured at the original price.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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