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A certain sum of money at simple interest amounts to $\text{Rs. 1012}$ in $2^{1/2}$ years and to $\text{Rs. 1067.20}$ in $4$ years. The rate of interest per annum is :

  1. $3.5 \%$
  2. $3.8 \%$
  3. $4 \%$
  4. $4.5 \%$
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