Business strategy focuses more on the entire business as a whole. This would include Branding, Marketing, Sales, Finance etc. It is the development, execution and maintenance of critical business assets that help a business achieve its long-term goals. 

While Marketing strategies refer to plans that involve making or selling a product that is mix of product, price, place and promotion. It is just a part of an overall business strategy. Marketing strategies include creating a product with a unique selling benefit, targeting a particular consumer demographic, setting prices based on profit and brand-management needs & using advertising, promotions, social media and public relations activities that support the a company’s brand message.

 

The business strategy is broader in scope and includes all aspects of the business.

 

Good Luck!

Business strategy = How you want to run your business against the competition and gain customers.
Marketing = Deals with customers and there complains.

You like being in office then go for Business strategy but if you like to travel then go for marketing.
If you are week in presentation's then both Business strategy and Marketing wont be good for you.