₹ $6,100$ was partly invested in Scheme $A$ at $10 \%$ p.a. compound interest (compounded annually) for $2$ years and partly in Scheme $B$ at $10 \%$ p.a. simple interest for $4$ years. Both the schemes pay equal interests. How much was invested (In ₹) in Scheme $A$?

  • A

    $3750$

  • B

    $4500$

  • C

    $4000$

  • D

    $3250$

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