Direct proportion with given absolute age: Mani is twice Prabhu's age, and Ramona is half of Prabhu's age. If Mani is 60 now, what is Ramona's present age?

Introduction / Context:When one absolute age is known, proportional links determine the others immediately by scaling up/down.

Given Data / Assumptions:

• Mani = 2 × Prabhu.
• Mani = 60 ⇒ Prabhu = 30.
• Ramona = (1/2) × Prabhu.

Concept / Approach:Compute Prabhu's age from Mani's, then halve it for Ramona.

Step-by-Step Solution:1) Prabhu = 60 / 2 = 30.2) Ramona = 30 / 2 = 15.

Verification / Alternative check:Ratios hold: Mani:Prabhu:Ramona = 60:30:15 = 4:2:1.

Why Other Options Are Wrong:They contradict the given 2× and 1/2 relations with Mani = 60.

Common Pitfalls:Halving the wrong person or misreading the direction of each ratio.

Final Answer:15