Question:

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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In distribution problems, it often helps to assume a convenient total (like 100) when only percentages are involved. This makes computations easy and does not affect the final ratios.
Updated On: Dec 4, 2025
  • \(4 : 5\)
  • \(5 : 8\)
  • \(3 : 5\)
  • \(2 : 3\)
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The Correct Option is B

Solution and Explanation

Step 1: Let the total amount be \(T\). For convenience, take \(T = 100\) (any other positive value would give the same ratio).
Step 2: Pinu’s share. Pinu gets \(20%\) of the total: \[ P = 20% \text{ of } 100 = 20. \]
Step 3: Meena’s share. Amount remaining after Pinu: \[ 100 - 20 = 80. \] Meena gets \(40%\) of this remaining amount: \[ M = 40% \text{ of } 80 = 0.4 \times 80 = 32. \]
Step 4: Seema’s share. Seema receives \(20%\) less than Pinu: \[ S = P - 20% \text{ of } P = 20 - 0.2 \times 20 = 20 - 4 = 16. \]
Step 5: Rinu’s share. Rinu gets the remaining amount: \[ R = 100 - (P + M + S) = 100 - (20 + 32 + 16) = 100 - 68 = 32. \]
Step 6: Required ratio \(P : R\). \[ P : R = 20 : 32. \] Divide both by 4: \[ P : R = 5 : 8. \] Therefore, the ratio of the amounts received by Pinu and Rinu is \(5 : 8\).
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