Selling an article for Rs. 1920 yields a percentage profit equal to the percentage loss at Rs. 1280. What selling price yields a 25% profit?
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Answer: A. Rs. 2000
Explanation
When percentage profit equals percentage loss between two prices the cost price is their exact midpoint average. Averaging nineteen twenty and twelve eighty isolates the original cost price at sixteen hundred rupees. Adding a twenty five percent profit margin to sixteen hundred yields a selling price of twenty hundred rupees. Cost price can be found directly by averaging two selling prices that involve equal percentage gains and losses. Profit percentage markup is calculated by adding the fractional profit to the established cost basis. Midpoint averaging balances symmetric gains and losses around an unknown central cost value.
Merchants analyze alternative selling prices to determine break-even costs and target profit margins. Pricing elasticity problems help evaluate how price points affect commercial profit outcomes. Understanding symmetric profit and loss relationships enhances retail financial planning skills. Option B suggests twenty two hundred rupees which overstates the required twenty five percent markup. Option C suggests twenty four hundred rupees which represents an incorrect profit calculation. Option D is incorrect because option A accurately provides the required selling price.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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