Ask a math problem to calculate the urgent need for interest.

(1) Assume that the loan obtained by Huatai Company is X million yuan, and the subsidy obtained within two years is X12.

96

× 1

25

× 80,000 yuan, according to the loan fee+subsidy = 624,000, the equation is listed, and the value of X can be obtained.

(2) Assume that the loan obtained by Yixing Company is Y10,000 yuan, and the subsidy obtained within two years is y× 12.

100

× 1

25

× 80,000 yuan, according to the subsidy received by Yixing Company in two years = the subsidy received by Huatai Company in two years (1-20%), solve the equation.

(3) If the annual loan interest rate of the company is a, the repayment amount and interest of Huatai Company and Yixing Company are X (1+a) 20,000 yuan and Y (1+a) 20,000 yuan respectively. According to the equivalence relation that Yixing Company's loan repayment and interest are less than Huatai Company's 12 10000 yuan, the equation can be listed and solved.

x+x× 12

96

× 1

25

×8=62.4,

Solution, x=60 (ten thousand yuan)

So Huatai Company got a loan of 600,000 yuan.

(2) Set up Yixing Company and get a loan of Y10,000 yuan.

The subsidy received by Huatai Company is 62.4-60 = 24,000 yuan.

y× 12

100

× 1

25

×8=2.4×( 1-20%),

Solution, y=50 (ten thousand yuan)

So Yixing Company got a loan of 500,000 yuan.

(3) Assume that the annual interest rate of corporate loans is a. From the meaning of the question:

60( 1+a)2-50( 1+a)2 = 12. 1,

The solution is a= 10%.

Therefore, the annual interest rate of state loans to enterprises that absorb laid-off workers is 10%.