Question:

A sum was divided among $P$, $Q$ & $R$. $R$ got double than $P$ who got double than $Q$. If the difference between the shares of $Q$ and $R$ is Rs. 3675.00, then the sum in rupees is

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Always set up ratios first, then use given differences to find actual values.
Updated On: Aug 11, 2025
  • 4900
  • 8575
  • 11025
  • 7350
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The Correct Option is B

Solution and Explanation

Let $Q$'s share = $x$
Then $P$'s share = $2x$, and $R$'s share = $2 \times 2x = 4x$
Difference between $R$ and $Q$ = $4x - x = 3x$
Given $3x = 3675 \Rightarrow x = 1225$
Total sum = $x + 2x + 4x = 7x = 7 \times 1225 = 8575$
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