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Anonymous A
on Oct 22, 2021
Global
I want to receive updates regarding this question via email.

Brain Teaser

How would you answer the following and something like it? How do you start to think about it? Specifically for this question, have ideas about price elasticity and target customer segments but would love your ideas. Thank you!

“There are three products: tomatoes, luxury cars, T-shirts. What value-added tax is applied to each product type?”

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Top answer
Pedro
Coach
edited on Oct 22, 2021
Bain | EY-Parthenon | Former Principal | 1.5h session | 30% discount 1st session

I don't think this is a brainteaser, but rather a question to check if one has any idea on how the world works. In this case, how the VAT rates work (I am assuming you are in a country that applies VAT). I would expect a candidate, particularly one with a business background, to know the answer to this question. 

On the other hand, I must say I would never this to a candidate, at least not on purpose (i.e. serendipity happens during a case interview).

Assuming this is indeed a brainteaser (which I find odd), you would have to first consider the interest of who imposes the tax, i.e., the government.

They have several objectives when imposing a tax, but ultimately it is a matter of balancing expected tax revenues and social impact.

For potential tax revenues, you have to look at elasticity. This is tricky here. Luxury goods tend to have negative elasticities (i.e., up to a point, a higher price actually results in higher sales), normal goods have normal elasticities, and basic goods sometimes also have negative elasticities (i.e., if you increase prices you consume more of them, because you have less money and instead of cutting on them you cut on higher quality products). 

So if you want to maximize tax revenues, you tax high the luxury cars (luxury) and the tomatoes (basic), and not a lot the t-shirts (normal goods). This sounds crazy right? It is, as this is socially unnaceptable, but if you think about it, it is the reason why fuel taxes are so high in Europe. A lot of people really need that fuel…

Of course, if you care at all about your population (and don't want to face much deserved social turmoil), you should actually tax low the tomatoes (or no tax at all), medium the t-shirts and high the luxury vehicles. So this is the answer.

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2 comments
Anonymous A
on Oct 22, 2021
Amazing and EXACTLY how I answered it! Thank you!
Pedro
Coach
on Oct 22, 2021
Bain | EY-Parthenon | Former Principal | 1.5h session | 30% discount 1st session
Congratulations then!
Francesco
Coach
on Oct 23, 2021
#1 Coach for Sessions (4.500+) | 1.500+ 5-Star Reviews | Proven Success: ➡ interviewoffers.com | Ex BCG | 10Y+ Coaching

Hi there,

I agree with Pedro that this doesn’t seem a brainteaser. 

I would structure as follows:

  1. Clarify the goal. If you want to maximize income from taxes vs votes from your party you may choose  different option
  2. Identify the price elasticity of the 3 products. You may have some hypotheses and Pedro presented some very good examples here. Still you would need data to verify the hypotheses are correct 
  3. Calculate the new level of volume sold / taxes / target metric. Based on 2, you can define the best option to meet the goal clarified in 1. If you have no data in 2, you should present your hypotheses on the expected results, but clarify you would need to check them with data

Hope this helps,

Francesco

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Ian
Coach
on Oct 24, 2021
Top US BCG / MBB Coach - 5,000 sessions |Tech, Platinion, Big 4 | 9/9 personal interviews passed | 95% candidate success

Hi there,

I must confess, I'm a bit confused by the answers here. I feel the answers have overcomplicated this and assume it's from a case/prompt. Is that the case?

Because, if you're interviewing with an economics consultancy or think-tank, this would just have the literal answers that tomatoes would have full value-added tax on their price, luxury cars would need to subtract the value of the car from the purchase price of all of the individual parts, and T-shirts would have to subtract out the price of the shirt material (wool, etc.) from the price of the shirt itself.

This feels like just a math/economics problem, not a full on case prompt.

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Brainteaser
Brainteasers are a type of problem that focuses on a single issue rather than complex business cases. They require out-of-the-box thinking, logic or math skills and can take the form of riddles, word problems or visual puzzles. These tasks are designed to test your problem-solving skills, analytical thinking and ability to remain calm under pressure.Typical problems cover everyday life's topics and might even include unrealistic assumptions. All necessary information is usually included in the question so that further assumptions are not necessary. This article explains in more detail why brainteasers are useful in case interview preparation and how to solve them. Why Are Brainteasers Used in Case Interviews?First, in consulting case interviews, brainteasers are rarely used. Regular cases are considered more suitable as they allow the interviewer to better test key skills needed in a consultant (structured, analytical and conceptual thinking). However, brainteasers add significant value to the preparation process of several reasons:Enhancing Creative Thinking: Brainteasers demand unconventional solutions that go beyond the standard approaches used in typical business cases. This hones the ability to think outside the box and encourages flexibility in developing and applying different problem-solving frameworks.Building Stress Resilience and Speed: Brainteasers often place candidates under time pressure, mimicking the stressful situations commonly encountered in consulting. Regular practice with these challenges helps candidates remain calm and think clearly, even when the solution is not immediately apparent.Strengthening Mathematical and Logical Skills: Many brainteasers involve numbers or require logical deductions. Regular practice with these tasks improves the ability to quickly translate problems into mathematical or logical equations, a skill that is also valuable in complex business analyses.Avoiding Standard Solutions: By working on brainteasers, candidates reduce the risk of becoming too dependent on standard frameworks. This practice sharpens their ability to consider alternative solutions, which can be crucial in unpredictable business situations. How to Solve BrainteasersWhen approaching brainteasers, the method you use to tackle the problem is often more critical than arriving at the correct answer. Brainteasers test not only your creativity and logic but also your ability to structure your thoughts and communicate your reasoning clearly. By following a systematic approach, you can effectively break down complex puzzles and demonstrate your problem-solving skills: Structure Before Solution: The approach to solving a brainteaser is often more important than the final answer. Write down all the information provided, listen carefully, and make sure you haven’t missed or added anything. A structured approach demonstrates your ability to systematically analyze and tackle a problem.Brute Force: When a problem requires a specific number and the possible solutions are limited, a trial-and-error approach can be effective.Example: Replace 'x' with the digits 1, 2, 3, 4, 5, and 6 to make the equation xx * x = xxx true. Solution: 54 * 3 = 162.Logic: Many brainteasers can be solved by logically interpreting the information given and drawing the correct conclusions.Example: Five friends have 10 cookies. They vote on how to split them in alphabetical order. Anyone who doesn’t get at least 50% of the votes is out. Anton votes first. The maximum number of cookies he can demand is 8. Key Takeaways - What Brainteasers Are Useful ForBrainteasers are not common in case interviews but are highly useful for preparing for unconventional problem-solving situations.They enhance creative and structured thinking, build stress resilience, and improve mathematical and logical skills. Brush up on your mental math skills. Being quick and accurate with numbers is crucial!Focus on the problem-solving process and structure rather than just finding the correct answer. 
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