Short Practice Questions
These are examples of simple word problems within business contexts. You might want to go back to the Consulting Math overview article for more in-depth information on improving your quantitative capabilities for the McKinsey PST and Case Interviews!
Question 1: Fonterra charges a 40% markup on milk supplies for dairy stores. A grocery store charges a 25% markup on milk bought from Fonterra. How much, in percentage, has the original price been increased?
Question 2: The Leaning Tower of Pisa is a famous tourist attraction in Italy. Adult tourists pay $8 EUR per visit, while children only have to pay $5 EUR. The maintenance cost each year for the tower is $500,000 EUR. If the revenue from the Children’s tickets covers up to 40% of the maintenance cost, how many adults need to visit the tower for the Board of Tourism to break even?
Question 3: A special kind of building material consists of 1/3 sand, 3/5 water, and 12 kg of soil. What is the total weight of the mixture?
Question 4: At a motorbike store, 20% of the motorbikes are Honda products and 1/9 of them are Vespa’s. If the store had exactly 270 motorbikes, how many of them are either Honda or Vespa made?
Question 5: DuckThat! is a brand of prank tool boxes. A retail box from DuckThat! costs $18.50, and a wholesale carton of 5 boxes costs $90. If 45% of the target sales of $2,700,000 is already coming from retail sales, how many boxes would have to be sold through wholesale?
Hurdle 1 – Answers
- Q1: 75%
- Q2: 37,500 adult visits
- Q3: 180 kg
- Q4: 84 in total
- Q5: 82,500 boxes