$A$ man buys $300$ dozen of bananas for $Rs. 3,600$. He sold $1/3$ of the stock at a loss of $10\%$ and the remaining $2/3$ of the stock at a gain of $10\%$. Find his overall percent profit or loss.

  • A
    $\frac{10}{3}\%$ gain
  • B
    $\frac{10}{3}\%$ loss
  • C
    $\frac{14}{3}\%$ loss
  • D
    $\frac{14}{3}\%$ gain

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$A$ and $B$ jointly made a profit of $Rs. 1650$ and they decided to share it such that $\frac{1}{3}$ of $A$'s profit is equal to $\frac{2}{5}$ of $B$'s profit. Then the profit of $B$ is (in $Rs.$)

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