**s**

**imple word problems within business contexts**. You may go back to the main Consulting Math article for more in-depth information on improving your quantitative capabilities for the

**McKinsey PST**and

**Case Interviews**!

##### Hurdle 1:

**Question 1:** Fonterra charges a 40% markup on milk supplies for dairy stores. A grocery store charges a 25% mark-up on milk bought from Fonterra. How much percent of the original price has been increased?

**Question 2:** The Leaning Tower of Pisa is a famous tourist attraction in Italy. Tourists pay $8 EUR per visit; 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 to break even?

**Question 3:** When combining a mixture for a special kind of building material, 1/3 of the mixture is sand, 3/5 is water and the rest is 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 the products are Vespa’s. If it 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; or $90 for a wholesale carton of 5 boxes. 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?

### ”Answers”

**Hurdle 1 – Answers**

- Q1: 75%
- Q2: 37,500 adult visits
- Q3: 180 kg
- Q4: 84 in total
- Q5: 82,500 boxes

##### Hurdle 2:

**Question 6:** EV Bank invested $1.5 million in the stock market for a period of 2 years and expected a CAGR (i.e: percentage of return each year) of 12%. Calculate the expected value of EV Bank’s investment after 2 years (in dollar units of thousands).

**Question 7:** Io Bar serves an average of 350 customers and 1450 drinks per night. It takes 40 seconds to prepare a drink. Calculate the average time spent for serving one customer in Io Bar.

**Question 8:** The fee for renting a flat on Green Street is $ 10 per week or $33 per month. What are the savings a person generates if paying for whole months instead of individual weeks in a year? Assuming there are 4 weeks in a month.

**Question 9:** 30% of students of an English class at BC Centre passed the IELTS exam in July. Among the failed students, 12 joined another course at BC, while the other 30 people did not. How many students were there in the English class above?

**Question 10:** A certain pair of Bitis shoes is estimated to have the production cost of $8. The gross profit of 225,000 pairs of shoes sold in March is $787,500. Calculate the average selling price.

### ”Answers”

**Hurdle 2 – Answers**

- Q6: $1,882 thousand
- Q7: 2.76 minutes
- Q8: $84
- Q9: 60 students
- Q10: $11.5

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