Well Subha I guess there are other ways to go about it , but I reduced the equations to make a different equation involving the Painter and the Plumber.
Start with the Plumber+ Electrician, equate with Electrician+Constructor by removing the common term (that being the electrician)
Keep going down that sequence removing the common terms until you land up with an equation having Painter - Plumber = 100
Equate it with the existing one and voila you have your answer, if i haven't thoroughly confused you.