68,000 is divided among A, B, and C in the ratio of 1/2 : 1/4 : 5/16. The difference between the greatest part and the smallest part is:

A 8000

B 32000

C 9000

D 12000

E None of these

Correct Answer: Option E

Given ratio:

⇒ A : B : C = 1/2 : 1/4 : 5/16

Or, A : B : C = 8 : 4 : 5

Given amount = 68,000

Now,

⇒ The greatest share (A) = (68000/17) × 8 = 32000

⇒ The smallest share (B) = (68000/17) × 4 = 16000

⇒ The difference between the greatest part and the smallest part is= 32000 – 16000

= 16000