Solution: Judging from the price 14.07 yuan paid by this person to the salesman, and the salesman said that he should pay 43.32 yuan, this person underestimated the price tag 10 times, that is, 100 times. Suppose that the price tags of two commodities are X and Y, and the original price of the wrong commodity is X, then the price of the wrong commodity is Y, the original price of the wrong commodity is X, and the price that this person regards as the commodity is x/ 10 or x/ 100. According to the meaning of the question:
(1) x+y = 43.32...( 1) The price payable is obtained by adding the marked prices of the two commodities.
X/10+y =14.07 ... (2) The price of a wrong commodity plus the price of a correct commodity is the price paid by the person to the salesperson.
Or (2) x+y = 43.32. ............................................................................................................................................................
X/100+y =14.07 ... ④ Add the price of the wrong commodity to get the price paid by this person to the salesman.
(1) Solve ① and ② by addition, subtraction and elimination, and get x = 32.5 y = 10.82.
(2) Solve ③ and ④ by adding, subtracting and eliminating elements: x = 29.5454 ... y = 43.32-29.5454 ...
The solution of the equations with code (2) is unreasonable and does not conform to the pricing format of the topic. Give it up!
A: The prices of these two commodities are 32.5 yuan and 10.82 yuan respectively.
Note: Generally, the marked price of commodities is two digits after the decimal point, so the marked price is underestimated. There are only two possibilities:110 or1100 of the original marked price.
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