The compound interest on a certain sum for $2$ years at $10 \%$ per annum is ₹ $525 .$ The simple interest (In ₹) on the same sum for double the time at half the rate percent per annum is

  • A

    $520$

  • B

    $550$

  • C

    $500$

  • D

    $515$

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How many statements are useful for find this : 

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$Statements:$

$I$. The difference between the compound interest and simple interest earned in two years on the amount invested is ₹ $100$.

$II$. The amount becomes ₹ $19,500$ in three years on simple interest.

$III$.The simple interest accrued in two years on the same amount at the same rate of interest is ₹ $3,000$.