An article's cost price is 64% of its marked price. What is the profit percentage after granting a 12% discount?
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Answer: A. 37.5%
Explanation
Setting the marked price to one hundred makes the cost price equal to sixty-four. Granting a twelve percentage discount on the marked price results in a selling price of eighty-eight. Subtracting the cost price from the selling price gives a profit of twenty-four, which is thirty-seven point five percentage of sixty-four. Marked price is the baseline catalog price before any promotional discounts are applied. Selling price is calculated by subtracting the discount amount from the marked price value. Profit percentage is computed by dividing the absolute profit by the cost price and multiplying by one hundred.
Retail businesses analyze discount pricing structures to ensure profit margins remain healthy after sales. Merchants use markup and markdown calculations to manage inventory profitability in competitive markets. Quantitative aptitude tests frequently feature markdown and profit percentage word problems. Option B overestimates the profit percentage by dividing the profit by an incorrect baseline number. Option C results from minor arithmetic errors during the percentage division calculation step. Option D suggests a higher profit percentage that contradicts the exact cost and selling price figures.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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