The correct option is (B) 1 : 2
The initial ratio among Hari, Roy, and Prasad is given as:
Hari : Roy : Prasad = 3 : 5 : 1
The total parts can be calculated as:
3 + 5 + 1 = 9 parts
Roy's share = \(\frac{5}{9}\)
Prasad's new share after acquiring Roy's portion. Prasad's initial share is:
Prasad's initial share = \(\frac{1}{9}\)
After acquiring Roy's share, Prasad's new share becomes:
Prasad's new share = \(\frac{1}{9} + \frac{5}{9} = \frac{6}{9} = \frac{2}{3}\)
Since Hari is not acquiring any additional shares, his share remains:
Hari's new share = \(\frac{3}{9} = \frac{1}{3}\)
The new profit-sharing ratio between Hari and Prasad. The new ratio is:
New ratio (Hari : Prasad) = \(\frac{3}{9} : \frac{6}{9} = 3:6 = 1 : 2\)
