Skill 01 · Frame the problem, and aim high

A gym chain wants to double its profit in three years. How would you approach it?

A classic opening question. The interviewer is testing whether you pick the right question and set the right ambition before you reach for a framework.

The question

Your client is FitNorth, a chain of 40 mid-priced gyms in two cities. The CEO has told the board she will double operating profit in three years.

Operating profit
$12M last year on $96M revenue
Members
about 80,000, paying $85 a month on average
Other revenue
personal training and classes, about $14M a year
Growth
revenue flat for two years; two budget chains opened nearby

“How would you approach this?”

2 min Think first. Jot down your answer, or say it out loud, before you open the steps. The steps make far more sense once you’ve tried it yourself.

A strong answer, step by step

Open each step in turn. This is our worked answer, not the only good one.

Step 1: Restate the goal, and ask what “double” means

“So the goal is to take operating profit from $12M to $24M by year three. Before I structure it, two questions. Is that $24M a hard commitment to the board, or an ambition we can reshape? And can we sell or close gyms, or must the footprint stay?”

What a strong candidate says

Why it works: It turns a vague goal into a number, and the two questions could each change the plan. Asking “what do you mean by double?” after you’ve built a framework is too late.

Step 2: Size the gap before choosing a lever

“Doubling means $12M more profit. At today’s 12.5% margin, growing revenue alone would need about $96M more, so revenue roughly doubling. That’s unlikely in a flat market, so the plan probably needs both margin and growth.”

What a strong candidate says

Why it works: One line of math shows the ambition is a stretch and tells you which branches matter. Strong candidates do this out loud, in round numbers.

Step 3: Structure it around the decision

Close a $12M profit gap

  • Keep and grow members
    • Cut churn (who leaves, and why?)
    • Win members back from the budget chains
    • Corporate memberships (new channel)
  • Earn more per member
    • Price tiers and off-peak plans
    • Personal training and classes
  • Run gyms for less
    • Close or merge the weakest sites
    • Staffing and energy per site
What a strong candidate says

Why it works: Every branch ends in something the CEO could act on, and it leads with the levers big enough to close a $12M gap. The textbook “revenue minus costs” tree isn’t wrong; it just doesn’t tell you where to look first.

Step 4: Say where you’d start, and add one branch nobody expected

“I’d start with churn and pricing: members are the biggest lever, and the budget chains are probably taking the price-sensitive ones. I’d also test one less obvious idea: selling corporate memberships to large local employers, which could add members without a price war.”

What a strong candidate says

Why it works: A clear first step shows judgment, and one unexpected branch shows you aimed higher than the template. Keep it to one, and say why you’d test it.

Common traps

  • Starting with a memorised framework before you know what “double” means.
  • Listing ten branches with no view on which matters most.
  • Skipping the gap math, so you can’t tell a stretch goal from an easy one.