The difference between the $S.I.$ and $C.I.$ obtained on principal amount at $5$ $p.c.p.a.$ after $2$ years is $Rs. 35 .$ What is principal amount (In $Rs.$).

  • A

    $15000$

  • B

    $10000$

  • C

    $14000$

  • D

    $13000$

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How many statements are useful for find this : 

What is the rate of interest percent $p.a.$?

$Statements:$

$I$. 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 ₹ $3,000$.