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Change through ratios vs change through subtraction

Analytical Skills
New answer on Aug 12, 2021
3 Answers
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Anonymous A asked on Aug 11, 2021

Suppose your item revenue is calculated as total population x % who buy item x $/item…now if the % of people who buy item changes from 50% to 40%, can We say that’s a 10% decrease in buyers so the original revenue would also decrease by 10%? When is this approach ok versus saying Original revenue would decrease by 40%/50%? I.e when can we use the delta in % and when do we use ratios To find The new revenue?

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Sidi
Expert
replied on Aug 12, 2021
McKinsey Senior EM & BCG Consultant | Interviewer at McK & BCG for 7 years | Coached 350+ candidates secure MBB offers

Hi!

You need to get your numbers right! This is not a 10% decrease, but a 10 PERCENTAGE POINT decrease! That's a very important differentiation!

So if the number of buyers decreases from 50% to 40%, this is a decline of 20% (one fifth). This means, everything else staying equal, the revenue will also decrease by one fifth, i.e., -20%.

 

Cheers, Sidi

 

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Agrim
Expert
Content Creator
replied on Aug 12, 2021
BCG Dubai Project Leader | Learn to think like a Consultant | Free personalised prep plan | 6+ years in Consulting

This is a common (and major) mistake.

As Sidi also points out - its the difference between percentage points and percentage.

You could say that the metric declined by 10 percentage points (50% to 40%) - OR you could say that the metric declined by 20 percent (50%-40%)/(50%)

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Ian
Expert
Content Creator
replied on Aug 12, 2021
#1 BCG coach | MBB | Tier 2 | Digital, Tech, Platinion | 100% personal success rate (8/8) | 95% candidate success rate

Hi there,

This is wrong! The population buying this product drops by 10 percentage points.

This means the # of customers buying this product drops by 20 percent.

As a result, revenues also drop by 20 percent (not 10 percent).

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Sidi gave the best answer

Sidi

McKinsey Senior EM & BCG Consultant | Interviewer at McK & BCG for 7 years | Coached 350+ candidates secure MBB offers
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