If a person has Tk. 2000 and he wants to distribute this to his five children in the manner that each son has Tk. 30 more than the younger one, what will be the share of the youngest child?

Assume first child (the youngest) get = Tk. x
According to the question ;
each son having Tk. 30 more than the younger one

Second child will get = Tk. x + 30
Third child will get = Tk. x + 30 + 30 = x + 60
Fourth child will get = Tk. x + 30 + 30 + 30 = x + 90
Fifth child will get = Tk. x + 30 + 30 + 30 + 30 = x + 120

Total amount they got = Tk. 2000

x + (x+30) + (x+60) + (x+90) + (x+120) = 2000
5x + 300 = 2000
5x = 1700
x = Tk. 340
So the youngest child will get Tk. 340.