Schedule mock interviews on the Meeting Board, join the latest community discussions in our Consulting Q&A and find like-minded Interview Partners to connect and practice with!
Back to overview

Is the solution wrong?

Market share is 5%.The answer is:Revenues Year 3 = Revenue (filters) + Revenue (air purifiers)Revenue (filters) = ([installed purifiers at end of year 2] * [2 filters] X [price/filter]) + ([additional installed purifiers in year 3] X [average of 1 filter X price/filter])Installed purifiers by end of year 2 = [sales of purifiers in year 1] + [sales of purifiers in year 2]= 0.5M*5% + 0.5M*5%*1.1= 0.025M + 0.0275M = 0.0525MPurifiers sold in year 3 = 0.5M X 5% X 1.12 = 0.03M Revenue (filters) = (0.0525M*2*$450) + (0.03M*1*$450) = $47M + $13.5M = $60.5MRevenue (air purifiers) = 0.5M X 1.12 X 0.05 * $3715 = $112.4M Total sales = $60.5M + $112.4M = $173MFor Revenue from Filters= They multipled the number of purifiers sold by 2 for the first 2 years, and for the third year, they only multiplied by once.My rationale: Why not multiply by 4 and 2 respectively?Given the fillers replacement= every 6 months. Wouldn’t that be twice per year?Do you also find the answer wrong? 
Market share is 5%.
The answer is:
Revenues Year 3 = Revenue (filters) + Revenue (air purifiers)
Revenue (filters) = ([installed purifiers at end of year 2] * [2 filters] X [price/filter]) + ([additional installed purifiers in year 3] X [average of 1 filter X price/filter])
Installed purifiers by end of year 2 = [sales of purifiers in year 1] + [sales of purifiers in year 2]
= 0.5M*5% + 0.5M*5%*1.1
= 0.025M + 0.0275M = 0.0525M
Purifiers sold in year 3 = 0.5M X 5% X 1.12 = 0.03M Revenue (filters) = (0.0525M*2*$450) + (0.03M*1*$450) = $47M + $13.5M = $60.5M
Revenue (air purifiers) = 0.5M X 1.12 X 0.05 * $3715 = $112.4M Total sales = $60.5M + $112.4M = $173M

For Revenue from Filters
= They multipled the number of purifiers sold by 2 for the first 2 years, and for the third year, they only multiplied by once.

My rationale: Why not multiply by 4 and 2 respectively?
Given the fillers replacement= every 6 months. 
Wouldn’t that be twice per year?

Do you also find the answer wrong?
 
2
600+
8
Be the first to answer!
Nobody has responded to this question yet.
Top answer
Ian
Coach
on Feb 07, 2023
Top US BCG / MBB Coach - 5,000 sessions |Tech, Platinion, Big 4 | 9/9 personal interviews passed | 95% candidate success

Hi there,

I actually do agree with you. However, I would have to see the case to see exactly how the problem is set up.

They're getting a bit “cute” with their definition of a year. Ultimately, if this is a case though, you'll  need to take the guidance of the interviewer.

Hagen
Coach
on Feb 07, 2023
#1 recommended coach | >95% success rate | 8+ years consulting, 8+ years coaching and 7+ years interviewing experience

Hi there,

Yes, you seem to be correct. However, given this is only a snapshot of a case study, it is hard to determine with certainty.

If you would like a more detailed discussion on how to best prepare for your upcoming interviews, please don't hesitate to contact me directly.

Best,

Hagen

Similar Questions
Consulting
How should I explain a change in course at university? Will it be asked of me?
on Apr 14, 2025
Global
10
3.7k
Top answer by
Alessa
Coach
xMcKinsey & Company | xBCG | +200 individual & group coachings | feel free to schedule a 15 min intro call for free
81
10 Answers
3.7k Views
+7
Consulting
Just did the Mckinsey Solve Game (January 2025) - got some questions/insights
on Apr 24, 2025
Global
5
4.0k
Top answer by
Hagen
Coach
#1 recommended coach | >95% success rate | 8+ years consulting, 8+ years coaching and 7+ years interviewing experience
42
5 Answers
4.0k Views
+2
Consulting
Want IAPP AIGP (Artificial Intelligence Governance Professional) Exam sample Questions
on Apr 14, 2025
Global
4
2.6k
Top answer by
Hagen
Coach
#1 recommended coach | >95% success rate | 8+ years consulting, 8+ years coaching and 7+ years interviewing experience
56
4 Answers
2.6k Views
+1
How likely are you to recommend us to a friend or fellow student?
0 = Not likely
10 = Very likely
Thanks for your feedback! Your opinion helps us make PrepLounge even better.