Rs. 1870 has been divided into three parts in such away

Rs. 1870 has been divided into three parts in such away that half of the first parts, one-third of the second parts, and one-sixth of the third parts are equals. The third parts is ?

1/2A = 1/3B =1/6C = x
⇒ A = 2x, B = 3x, C =6x
∴ A : B : C = 2 : 3 : 6
Third part = Rs. (1870 x 6/11) = Rs. 1020