CAT 2025 Slot2 Quant: A certain amount of money was divided among Pinu, Meena, Rinu and Seema
March 6, 2026 2026-03-06 17:11CAT 2025 Slot2 Quant: A certain amount of money was divided among Pinu, Meena, Rinu and Seema
Assume total = $100$.
Pinu $= 20$. Remaining $= 80$.
Meena $= 40\%$ of $80 = 32$.
Seema $= 20\%$ less than Pinu $= 20 - 4 = 16$.
Rinu $= 100 - (20 + 32 + 16) = 100 - 68 = 32$.
Ratio Pinu : Rinu $= 20 : 32 = \mathbf{5 : 8}$.
Detailed Step-by-Step Solution
Step 1: Assign values for Pinu and Meena
Let the total amount be $100x$.
Pinu's share $= 20\%$ of $100x = 20x$.
Remaining amount $= 100x - 20x = 80x$.
Meena's share $= 40\%$ of $80x = 32x$.
Step 2: Calculate Seema's share
Seema received $20\%$ less than Pinu.
Seema's share $= 20x - (20\% \text{ of } 20x) = 20x - 4x = 16x$.
Step 3: Find Rinu's share
Total share $= \text{Pinu} + \text{Meena} + \text{Seema} + \text{Rinu}$
$100x = 20x + 32x + 16x + \text{Rinu}$
$100x = 68x + \text{Rinu} \implies \text{Rinu} = 32x$.
Step 4: Determine the Ratio
Ratio of Pinu to Rinu $= \frac{20x}{32x} = \frac{20}{32} = \frac{5}{8}$.
The final ratio is $\mathbf{5 : 8}$.