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Question no. 56293

An article's cost price is 64% of its marked price. Determine the profit percentage after a 12% discount.

Select your answer for: An article's cost price is 64% of its marked price. Determine the profit percentage after a 12% discount.
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Answer: A. 37.5 %

Explanation

Setting the marked price to one hundred establishes a cost price of sixty four currency units. Applying a twelve percent discount yields a new selling price of eighty eight currency units. Calculating the profit margin relative to the cost price gives thirty seven point five percent. Marked prices serve as the baseline from which retail discounts are subtracted. Profit is determined by subtracting the cost price from the final selling price. Percentage profit is calculated by dividing the absolute profit by the original cost price.

Retailers analyze cost and marked prices to determine safe discount limits during sales events. Pricing strategies balance profit margin requirements with competitive market discount rates. Commercial mathematics provides essential tools for business accounting and retail management. Option b represents a slightly inaccurate percentage calculation resulting from minor arithmetic slips. Option c overestimates the profit percentage by using an incorrect cost or selling price baseline. Option d underestimates the profit margin by failing to calculate the correct price difference.

Subject
Mathematics
Category
Mathematics
Topic
—
Difficulty
medium

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