The cost price of 10 pens equals the selling price of 12 pens. Calculate the gain or loss percentage?
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Answer: C. 16 2/3% loss
Explanation
Equating the cost of 10 pens to the selling price of 12 pens establishes a price ratio. The selling price to cost price ratio evaluates to 5 over 6. A cost price of six units and selling price of five units represents a one-sixth loss. Loss percentage is calculated as cost price minus selling price divided by cost price. One-sixth expressed as a percentage equals 16 and 2/3 percent loss. Transaction equality equations determine profit or loss without needing absolute currency values.
Wholesale and retail trading requires monitoring profit and loss across variable quantities. Bulk purchasing discounts often alter standard per-unit profit margins. Commercial arithmetic problems test the ability to derive percentage loss from ratios. Choosing 16 2/3 percent profit inverts the price ratio and misidentifies a loss as a gain. Choosing 50/6 percent profit uses an incorrect profit assumption for the quantity ratio. Choosing 100/3 percent loss miscalculates the fractional denominator in the percentage formula.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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