Calculation formula of liquidated damages for property fees

The calculation of liquidated damages for property management fees is complicated. For the convenience of calculation, we can convert the daily liquidated damages into monthly liquidated damages, that is, three thousandths of 30 days, 0.003×30=0.09. As the membership fee is paid every month, it is a continuous and dynamic algorithm, which seems troublesome, but it is actually regular, and it is a typical arithmetic progression in mathematics. The formula of the sum of the first n items in arithmetic progression is Sn=N(A 1+An)/2, where Sn is the number of liquidated damages payable, n is the number of months in arrears, A 1 is the number of liquidated damages in the first month in arrears, An is the number of liquidated damages in the last month in arrears, A 1=0.09NF, and An=0.09F In order to count the overdue days, this formula can be improved to: sn = 0.045fn (n+1)+0.003f (n+1) × t, where t is the overdue days after expiration. The key to the formula is the selection of n, because the formula is derived from series, so the number of n must meet the conditions of series, that is, the number of n must be calculated according to the term. For example, the management fee of a household is 48 yuan, and the arrears start from April 1998. Assuming that the payment period of the defaulting household is 1999 65438+ 10/9, then n should be 8, and it is wrong to take 9, because the penalty is199860. The calculation method of the liquidated damages of this household is: 0.0045× 48× 8 (8+1)+0.003× 48 (8+1)×19 =180.14 yuan. If someone is troubled by the choice of n, they can also choose n as the number of months in arrears, and the formula can be changed to: 0.045 fn (n-1)+0.003 fnt; For the above defaulting households, choose n as 9, and the penalty payable is 0.045× 48× 9 (9-1)+0.003× 40. In addition, if the management fee is adjusted during the arrears period, you can use this formula to calculate the increased part after adjusting the management fee plus the original calculated figure.

Legal objectivity:

Article 6 of the Measures for the Administration of Property Service Charges shall be clearly marked, including the name of the property management enterprise, the charging object, service content, service standard, charging method, charging start time, charging items, charging standard, price management form, charging basis, price reporting telephone number 12358, etc.