A sells his house worth $Rs.\, 10\, lakh$ to $B$ at a loss of $10 \% .$ Later $B$ sells it back to $A$ at $10 \%$ profit. The result of the two transactions is

  • A

    A neither loses nor gains

  • B

    A loses $Rs.\, 90,000$

  • C

    A loses $Rs.\, 2,00,000$

  • D

    None of these

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