EMPERIOStrategy & Research Lab
Case room

Change membership pricing at a Bhopal gym?

Before the decision

Evening capacity is tight, but equipment is underused in the morning. The manager has already tested a morning class schedule. Signups look promising, but the finance team wants to know whether those members switched from evening access or came from outside the club.

The problem

Should the team choose Off-peak tier or Single price for the next 12 months?

Decision owner: The business unit lead.

An off-peak plan can cannibalise members who would have paid full price.

Option economics

Scroll the table to see all figures.

Simulated inputs for 12 months
OptionVolume (member-months)₹ per unitFixed costNet contribution
Off-peak tier24,500530₹96 lakh₹33.85 lakh
Single price21,300630₹94 lakh₹40.19 lakh

Make the call

  1. Calculate net contribution for Off-peak tier and Single price. Which assumption makes the comparison most fragile?
  2. If the leading option delivers 10% fewer member-months, does your recommendation change?
  3. What evidence would you ask for before the team makes an irreversible commitment?
Reveal the worked solution

Start by validating Single price. It contributes ₹40.19 lakh after fixed costs and leads by ₹6.34 lakh. Treat that gap as the amount of unmodelled cost or lost contribution the option can absorb before the ranking reverses.

  1. Frame the decision

    Compare contribution after the volume response. A better margin on each sale can be offset by lost transactions, downgrades or cancellations.

  2. Calculate both options

    Off-peak tier: 24,500 member-months × ₹530 less ₹96 lakh in fixed costs gives ₹33.85 lakh. Single price: 21,300 member-months × ₹630 less ₹94 lakh in fixed costs gives ₹40.19 lakh.

  3. Stress-test the forecast

    Single price leads by ₹6.34 lakh in the base case. If Single price delivers 10% fewer member-months (19,170) at the same margin and fixed cost, it contributes ₹26.77 lakh. Holding the other option constant, the stressed result falls behind. This isolates volume risk. Check whether both options would respond to the same change in demand.

  4. Set a decision threshold

    Holding the other option’s result fixed, Single price needs at least 20,294 member-months to match or beat it under the model. Use check-in histories to quantify voluntary downgrade risk.

An off-peak plan can cannibalise members who would have paid full price. Compare the cost of a limited test with the loss the business would face if the full commitment failed. Ask the team to agree the decision criterion before collecting more evidence.

What if the whole market moves?

The worked solution tests a change to one option at a time. Here, both options gain or lose the same percentage of volume. Unit contribution and fixed costs stay constant.

Simulated contribution after fixed costs
Volume scenarioOff-peak tierSingle priceHigher contribution
Both lose 10% of volume₹20.87 lakh₹26.77 lakhSingle price
Base assumptions₹33.85 lakh₹40.19 lakhSingle price
Both gain 10% of volume₹46.84 lakh₹53.61 lakhSingle price

Explain which option you would take forward. Check whether capacity, price or customer mix would also change as the market moves.

Review the underlying lesson

Practise this case as an interview