解:(1)60%X+25=40,
60%X+25-25=40-25,
60%x=15,
60%x÷60%=15÷60%,
x=25;
(2)X+12.5%X=72,
1.125x=72,
1.125x÷1.125=72÷1.125,
x=64;
(3)75%X-

=0.5X,
75%X-


=0.5X

,
75%x-0.5x=0.5x

-0.5x,
0.25x=

,
0.25x÷0.25=

0.25,
x=

;
(4)X×(1-25%-20%)=550,
55%x=550,
55%x÷55%=550÷55%,
x=1000.
分析:(1)依據(jù)等式的性質(zhì),方程兩邊同時減25,再同時除以60%求解,
(2)先化簡方程,再依據(jù)等式的性質(zhì),方程兩邊同時除以1.125求解,
(3)依據(jù)等式的性質(zhì),方程兩邊同時加

,再同時減0.5x,最后同時除以0.25求解,
(4)先化簡方程,再依據(jù)等式的性質(zhì),方程兩邊同時除以55%求解.
點評:等式的性質(zhì)是解方程的依據(jù),解方程時注意:(1)方程能化簡先化簡,(2)對齊等號.