Amrish has 2 sons and 2 daughters. In his will he distributed his property to his five children and his wife. Each of the six persons got a share that was 5%, 10%, 15%, `16(2)/(3)%`, 20% and `33(1)/(3)%` of the property. The sons are Devanand, Mithun and Govinda and daughters are Sonali and Madhuri and Zinat is his wife.
(i) The sum of shares of Devanand and Madhuri is equal to that of Govinda.
(II) The eldest child's share is double that of the youngest.
(III) Madhuri is elder to Govinda but Younder than Devanand.
(IV) The eldest child is male and the youngest child is a female.
(v) The difference between the shares of Zinat and the youngest son is equal to that of another son.
What is the share of Zinat ?

Options

A. `10%`
B. `15%`
C. `16(2)/(3)%`
D. `20%`

Answer

D

Explanation

Given, the sum of the shares of Devanand and Madhuri is equal to that of Govinda i.e., the possibilities are `5% + 10% = 15%` or `5% + 15% = 20%`
The youngest child cannot be Madhuri.
`therefore` It must be Sonali
The eldest son cannot be Gonvida as he is younger than Madhuri. It cannot be Devanand as his share cannot be double to that of Sonali. `therefore` The only possibility is for Mithun to be the eldest child. `therefore` Mithun.s share and Sonali.s share are `33(1)/(3)%` and `16(2)/(3)%` respectively. The youngest son is Govinda. Zinat.s share - Govinda.s share = Devanand.s share.
`therefore` The only possibility of Devanand.s Zinat.s and Govinda shares are 5%, 20% and 15% respectively. Madhuri got 10% share.
Zinat.s share is 20%.