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A single-phase transformer has maximum efficiency of $98 \%$. The core losses are $\text{80 W}$ and the equivalent winding resistance as seen from the primary side is $0.5 \:\Omega$. The rated current on the primary side is $\text{25 A}$. The percentage of the rated input current at which the maximum efficiency occurs is

  1. $35.7\%$
  2. $50.6\%$
  3. $80.5\%$
  4. $100\%$
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