If the shares of children of a sheikh are in the ratio 2/3 : 1/2 : 3/5 given that the difference between the shares of the sons with the maximum and the minimum share is 15 million Arabian Dinars, how much is the share of the son who gets neither the maximum nor the minimum share?

Option 2 : 54 million Arabian Dinars

Given:

Share of children = 2/3 : 1/2 : 3/5

Shares of the sons with the maximum and the minimum share is 15 million Arabian Dinars

Calculation:

Let the names of children be A, B, and C.

⇒ A : B : C = 2/3 : 1/2 : 3/5

⇒ A : B : C = (2/3) × 30 : (1/2) × 30 : (3/5) × 30

⇒ A : B : C = 20 : 15 : 18

Let A, B, and C has 20x, 15x, and 18x million Arabian Dinars

⇒ 20x - 15 x = 15 million Arabian Dinars

⇒ x = 3 million Arabian Dinars

According to question we have to find the share of son who gets neither the maximum nor the minimum share.

⇒ C gets 18x million Arabian Dinars

⇒ C gets 54 million Arabian Dinars

∴ The share of son who gets neither the maximum nor the minimum share is 54 million Arabian Dinars.