After purchasing two copies of the same book, X sold them respectively at 0.8 and 1.4 times their cost prices. What was the percentage gain earned or loss incurred by X?Question 3Answera.10% lossb.5% gainc.10% gaind.5% loss
Question
After purchasing two copies of the same book, X sold them respectively at 0.8 and 1.4 times their cost prices. What was the percentage gain earned or loss incurred by X?Question 3Answera.10% lossb.5% gainc.10% gaind.5% loss
Solution
Let's assume the cost price of each book is $100 (this simplifies the calculation, and the percentage result will be the same no matter the initial price).
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The first book was sold at 0.8 times its cost price, which means it was sold for 20.
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The second book was sold at 1.4 times its cost price, which means it was sold for 40.
The total cost price for the two books was 100 + 220 (140).
Therefore, X made a total gain of 220 - 200.
To find the percentage gain, we divide the gain by the cost price and multiply by 100:
(200) * 100 = 10%
So, X made a 10% gain on the sale of the two books. The correct answer is (c) 10% gain.
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