If a certain commodity is sold at a discount of 7.5% of the price, it will lose 25 yuan, and if it is sold at a discount of 9% of the price, it will make a profit of 20 yuan. What is the price of the commodity and what is the purchase price?

If a certain commodity is sold at a discount of 7.5% of the price, it will lose 25 yuan, and if it is sold at a discount of 9% of the price, it will make a profit of 20 yuan,
According to the meaning of the title:
Certain × 75% + 25 = certain × 90% - 20
The solution of the above formula is: some = 300
How much is the purchase price?
Purchase price = certain × 75% + 25 = 300 × 75% + 25 = 250
For reference only

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