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?

Rs. 510
Rs. 680
Rs. 850
Rs. 1020

Correct Answer: Rs. 1020

Explanation:

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

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