A store sells a commodity with a purchase price of 8 yuan at 10 yuan per piece, which can sell 200 pieces per day. Now it adopts the method of raising the selling price and reducing the purchase quantity to increase the profit. It is known that the daily sales volume of this commodity will decrease 10 pieces per day when the price increases by 0.5 yuan. If the commodity is to make a profit of 640 yuan per day, how much should the selling price be?

A store sells a commodity with a purchase price of 8 yuan at 10 yuan per piece, which can sell 200 pieces per day. Now it adopts the method of raising the selling price and reducing the purchase quantity to increase the profit. It is known that the daily sales volume of this commodity will decrease 10 pieces per day when the price increases by 0.5 yuan. If the commodity is to make a profit of 640 yuan per day, how much should the selling price be?

Suppose the price is x yuan, according to the equation, we get (X-8) (200-x − 100.5 × 10) = 640, and the solution is X1 = 12, X2 = 16. Because we increase the profit by increasing the selling price and reducing the purchase quantity, we should set the selling price of each piece at 16 yuan, so that the daily profit can be 640 yuan