QTM 1 - Introduction to Data and Maths - Tutorial Solutions

QTM 1 - Introduction to Data and Maths - Tutorial Solutions...

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1 QTM Lecture 1 Introduction to Data and Mathematical Fundamentals Tutorial Questions & Solutions Q1. Calculate the following: a) 5 + 6 x 8 b) (3 + 1) x 2 c) 9 7 ÷ 2 d) (4 + 5)/10 e) 5 + 7 x 8 2 f) (9 1) x (6 + 4) Solutions a) 53 b) 8 c) 5.5 d) 0.9 e) 59 f) 80 Q2. The following table shows sales (000’s) of various Xbox games in 2012 alongside their predicted percentage change in sales for 2013. Calculate predicted unit sales (000’s) for each game in 2013 to one decimal place. Game 2012 Sales (units 000's) 2013 Predicted Growth/Decline in Sales Call of Duty 120.316 Up 10% Minecraft 77.402 Up 2.5% Grand Theft Auto 101.539 Up 8% Batman: Arkham City 91.773 Down 7% London 2012 54.322 Down 19%
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2 Solutions Q3 Using the unit sales data from Q2, calculate: a) Total unit sales for the six games in 2012. b) The percentage share of total unit sales for each game in 2012 to 2 decimal places. c) Total predicted sales for the six games in 2013. d ) The predicted percentage share of total unit sales for each game in 2013 to 2 decimal places. e) What’s the predicted percentage growth rate for total unit sales between 2012 and 2013, to 1 decimal place. Solutions a) & b) Game 2013 Predicted Sales (000's) Call of Duty 132.3 Minecraft 79.3 Grand Theft Auto 109.7 Batman: Arkham City 85.3 London 2012 44.0
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3 c) & d) e) 1.19% Q4. The cost price to the retailer of Call of Duty is £14.50, whilst the cost price of Minecraft is £12.60. The retailer adds a 25% mark-up to the cost price and then VAT at 20%. a) What is the selling price of Call of Duty excluding VAT? b) What is the selling price of Minecraft excluding VAT? c) What is the selling price of Call of Duty including VAT?
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