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A book was sold at a price of 450 rupees after giving a discount of 25%. Instead of giving a discount, if the book seller sold it at a premium of 12.5%, find the selling price of the book.
We have the original selling price as 450, and we are given that this was after a 25% discount, that means the original price would be,
$$\frac{450}{0.75}=600$$
We are now asked the new selling price if it is sold at a 12.5% profit,
0.125 is nothing but one eighth, $$\frac{600}{8}=75$$
So, the final selling price is 675 rupees.
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