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CAT 2025 Slot 2 QA Question 17

Multiple choice (+3 / −1) · Arithmetic · Percentages · Try it, then check the answer and solution below.

CAT 2025 Slot 2QAArithmetic • PercentagesEasy
A certain amount of money was divided among Pinu, Meena, Rinu and Seema. Pinu received 20% of the total amount and Meena received 40% of the remaining amount. If Seema received 20% less than Pinu, the ratio of the amounts received by Pinu and Rinu is
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Answer and solution

Answer: C) 5 : 8

📌 Core Concept
The problem involves dividing a total amount among four individuals with specific percentage allocations. We need to determine the ratio of amounts received by Pinu and Rinu.
🔢 Step-by-Step Solution
1
Let the total amount be TT.
2
Pinu's share:
Pinu=20% of T=0.2T\text{Pinu} = 20\% \text{ of } T = 0.2T
3
Remaining amount after Pinu:
Remaining=T−0.2T=0.8T\text{Remaining} = T - 0.2T = 0.8T
4
Meena's share (40% of the remaining amount):
Meena=40% of 0.8T=0.4×0.8T=0.32T\text{Meena} = 40\% \text{ of } 0.8T = 0.4 \times 0.8T = 0.32T
5
Seema's share (20% less than Pinu):
Seema=Pinu−20% of Pinu=0.2T−0.04T=0.16T\text{Seema} = \text{Pinu} - 20\% \text{ of Pinu} = 0.2T - 0.04T = 0.16T
6
Rinu's share (remaining amount):
Rinu=T−(Pinu+Meena+Seema)=T−(0.2T+0.32T+0.16T)=T−0.68T=0.32T\text{Rinu} = T - (\text{Pinu} + \text{Meena} + \text{Seema}) = T - (0.2T + 0.32T + 0.16T) = T - 0.68T = 0.32T
7
Ratio of Pinu's share to Rinu's share:
Ratio=PinuRinu=0.2T0.32T=2032=58\text{Ratio} = \frac{\text{Pinu}}{\text{Rinu}} = \frac{0.2T}{0.32T} = \frac{20}{32} = \frac{5}{8}
⚡ 30-Second Shortcut
Pinu gets 20%, Meena gets 40% of the remaining 80% (32%), Seema gets 20% less than Pinu (16%), leaving Rinu with the remaining 32%.
Ratio of Pinu (20%) to Rinu (32%) is 20:32, simplifying to 5:8.
🎯 Final Answer
Correct Answer: Option C

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