We are given the following information:
Pari, Param, and Prizleen are partners sharing profits and losses in the ratio of 5:3:2.
Param retires, and her share is taken by Pari and Prizleen in the ratio of 2:1.
Step 1: Calculate Param's share Since the total profit-sharing ratio is 5 + 3 + 2 = 10, Param’s share of the profits is: \[ \text{Param's Share} = \frac{3}{10} \] ### Step 2: Distribute Param's share between Pari and Prizleen Param's share is taken by Pari and Prizleen in the ratio of 2:1. The total ratio for the distribution is 2 + 1 = 3.
Pari's share of Param’s share: \[ \text{Pari's share of Param's share} = \frac{2}{3} \times \frac{3}{10} = \frac{6}{30} = \frac{1}{5} \]
Prizleen's share of Param’s share: \[ \text{Prizleen's share of Param's share} = \frac{1}{3} \times \frac{3}{10} = \frac{3}{30} = \frac{1}{10} \] Step 3: Calculate the new profit-sharing ratio Now, let's calculate the new shares for Pari and Prizleen: - Pari’s new share = Original share + Share taken from Param \[ \text{Pari's new share} = \frac{5}{10} + \frac{1}{5} = \frac{5}{10} + \frac{2}{10} = \frac{7}{10} \] - Prizleen’s new share = Original share + Share taken from Param \[ \text{Prizleen's new share} = \frac{2}{10} + \frac{1}{10} = \frac{3}{10} \] Step 4: New profit-sharing ratio The new profit-sharing ratio between Pari and Prizleen is: \[ \text{New ratio} = 7:3 \]
Thus, the correct answer is (1): 7:3.
List-I (Words) | List-II (Definitions) |
(A) Theocracy | (I) One who keeps drugs for sale and puts up prescriptions |
(B) Megalomania | (II) One who collects and studies objects or artistic works from the distant past |
(C) Apothecary | (III) A government by divine guidance or religious leaders |
(D) Antiquarian | (IV) A morbid delusion of one’s power, importance or godliness |