A store sold several pieces of A-type electrical appliances at the original price (cost+profit) in the first quarter, and each piece earned an average profit of 25%. In the second quarter, due to a slight increase in profit, the number of pieces sold by A Electric Appliance was only 5/6 of that in the first quarter, but the total profit was the same as that in the first quarter.

(1) What is the average profit per piece of Class A electrical appliances sold by this counter in the second quarter?

(2) In the third quarter, the counter sold 90% of the price in the first quarter. Therefore, the number of pieces sold increased by 65,438+0.5 times compared with the first quarter. What percentage is the profit of Class A household appliances sold in the third quarter higher than that of Class A household appliances sold in the first quarter?

Solution: (1) Let the cost be A, the number of pieces sold be B, and the profit rate in the second quarter be C.

Then profit =a×25%= 1/4a.

In the second quarter, 5/6b electrical appliances were sold.

Total profit in the first quarter = 1/4ab

Profit in the second quarter =ac×5/6b=5/6abc

According to the meaning of the question

1/4ab=5/6abc

c= 1/4×6/5

c=3/ 10=30%

(2) Pricing in the first quarter =a( 1+25%)=5/4a.

Pricing in the third quarter =5/4a×90%=9/8a

Sold (1.5+ 1)b=2.5b pieces in the third quarter.

Total profit in the third quarter =9/8a×2.5b-2.5ab=5/ 16ab.

Total profit growth in the third quarter (5/16ab-1/4ab)/(kloc-0//4ab) = (116)/(1/4) = 0.25.