a hotel owner borrows $$50000$ at $7\mathrm{.}5\%$ interest for one year. the owner re$-$invests the money and achieves a $20\%$ gain in that year. A hotel owner borrows $$50,000$ at $7\mathrm{.}5\%$ interest for one year. The owner re$-$invests the money and achieves a $20\%$ gain in that year. What was the dollar

amount of the surplus gain achieved by this hotel owner's leveraging activity?

$$5,750$

$$8,175$

$$6,250$

$$6,520$