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The power delivered to a single phase inductive load is measured with a dynamometer type wattmeter using a potential transformer $(PT)$ of turns ratio $200:1$ and the current transformer $(CT)$ of turns ratio $1:5$. Assume both the transformers to be ideal. The power factor of the load is $0.8$. If the wattmeter reading is $200\;W$, then the apparent power of the load in $\text{kVA}$ is ______________.
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