BahnCard 25 / 50 / 100 Question

Anonymous A asked on Jul 25, 2017 - 1 answer

Hi guys,

the following interview question came up recently:

BahnCard 25 costs 50 €
BahnCard 50 costs 200 €
BahnCard 100 costs 3000 €

(for international prepers: BahnCard is a loyalty card of the german railroad company that costs the stated amount and provides a discount which is given in the name)

1. How many kilometers do you have to travel to break even with each BahnCard (easy and solved)

2. From how many kilometers on exactly is BahnCard 100 the better choice?

To make it easy the interviewer assumed that 1km costs 1 €.

Thank you very much :)


1 answer

  • Upvotes
  • Date ascending
  • Date descending
Best Answer
Anonymous B replied on Jul 26, 2017

Answer should be 5600km.

1. Find total kms where: Avg. BC25 = BC100 (50 + x*0.75)/x = 3000/x

2. Find total kms where: Avg. BC50 = BC100 (200 + x*0.50)/x = 3000/x

The larger answer is the correct one.


At ≈4000km BC100 would have a lower Avg. (cost / km) than BC25

At ≈5600km BC100 would have a lower Avg. (cost / km) than BC50

Anything beyond 5600km, BC100 would cost nothing, but BC50 would still carry an additional charge of €0.50/km.

thanks! — Joe on Jul 26, 2017 (edited)

Related BootCamp article(s)

Which companies are currently using written tests ?

All major firms like McKinsey, BCG and Bain use tests to assess a candidate's analytical skills. However the design of those tests can differ a lot.

Typical Question Types in Written Tests

Questions among all tests can be categorized in math, GMAT-style, chart reading and brain teaser questions. Each type needs to be approached differently.

Guide to Improving Speed in Written Tests such as the PST

Follow these instructions to significantly improve your performance and speed in solving problem solving tests used at McKinsey, BCG and Bain.

Related case(s)

REA Reinsurance

Solved 9.6k times
4.1 5 906
| Rating: (4.1 / 5.0)

Your client, REA, is a reinsurance company. REA recently acquired another reinsurance company (approximatively same size): the choice of this company was notably based on its product portfolio as well as its market presence which appeared complement with REA. However, the acquisition is not well r ... Open whole case


Solved 4.4k times
3.8 5 762
| Rating: (3.8 / 5.0)

Your client AirService is the service provider for a number of airports. The management realized a decrease in profits that is linked to increasing costs. How would you help them? Open whole case