Haven't applied to Bakers but I think either approach works. But if you pick an issue facing the whole sector I would make sure still to explain exactly how that affects the company. e.g. you might pick interest rates and their impact on a PE client (bit boring but this is just a hypothetical example). How does it impact the PE client specifically? Do their portfolio companies have more floating rate debt than other funds? Are they particularly struggling to return capital to LPs?Wondering how to go about this question "Choose one of our clients and explain a challenge they are currently facing. What could the organisation do to overcome this challenge and how could we assist?"
Should it be a general challenge specific to their industry or a very specific one that only their company is facing that I know about from the news? How can I go about the second half?
Then for the second limb of the question look at the firm's practice areas and think what solutions they could offer. e.g. a funds team might help set up a continuation fund to provide liquidity for some of the client's LPs while maintaining exposure to the asset. Or maybe the restructuring team could help the portfolio companies restructure their debt. Or maybe the finance team could help the client raise capital to fund LP payouts (look up net asset value financing).
This is a very generalised example but basically do your research and really tailor it to the client you're referring to