BACHELOR OF BUSINESS ADMINISTRATION YEAR 1— ACADEMIC AND ASSESSMENT
10.2.2 BUSINESS MATHEMATICS 102
QUESTION ONE
1.1
[25]
Evaluate each of the following without the use of a calculator. Show all
working (steps). Write down the answer in the simplest form.
1.1.1
2° x5° x2 x52
5” x2 ”x5” x2’
1.1.2
(3)
(3)
2x3+3
9
2
9
2 '
4
5
1.1.3
(4) 1.2
Write the following statements in form of equation or expression, you are not
required to solve the equations:
1.2.1 Four (4) more than 5 times a number, plus 2 times that number increased
by40
(2)
1.3
1.2.2 21 less than twice c gives 9.
(2)
1.2.3 5 more than six times a number, plus 3 times that number, is 25.
(2)
1.2.4 A number less 24 is the average of 15, 5, 32?
(2)
Solve the following equations and prove the solution:
1.3.1 14y + 5 - 5y =4 (y + 5).
(2)
1.3.2 9W +8 — W = 2 (2W + 8).
(2)
1.3.3
2
i 20=30
REGENT BUSINESS SCHOOL (RBS) - JANUARY 2022
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BACHELOR OF BUSINESS ADMINISTRATION YEAR 1 - ACADEMIC AND ASSESSMENT
QUESTION TWO
2.1
[25]
An online store sells two types of speaker docks for smartphones. The
higher-priced speaker dock sells for R1900, and the lower-priced speaker dock
sells for R800. Last week the store sold three times as many lower- priced
speaker docks as higher-priced speaker docks. Combined sales totaled R34 400.
Indicate how many lower-priced speaker docks did it sell?
2.2
(5)
An estate is to be distributed among a wife, three children, and two
grandchildren. The children will each receive three times as much as each
grandchild. and the wife will receive four times as much as each child. If the
estate amounts to R 1 115 000, how much will each person receive?
2.3
5)
The average speed of a car over a certain distance is calculated by dividing the
total distance travelled by the total time taken. Two towns A and B are 10 km
apart, A motorist travels from A to B at an average speed of 20 km per hour,
and travels from B to A at an average 40 km per hour.
2.3.1 Determine the average speed to the motorist for the two trips
combined. (i.e. from A to B and the back to A)
(6)
2.3.2 Determine the speed would the motorist have to average on the return trip from
B to A to yield an overall speed of 30km per hour? Assume the motorist
has averaged 20km per hour from A to B)
2.4
(4)
AutoZone sells a regular car battery for R 700 and heavy-duty model forR1
100. If it sold 40 batteries yesterday for a total of R34 000.
Indicate how many of each of the type of and indicate the rand the rand value sales of
each type.
(5)
REGEMT BUSINESS SCHOOL (RBS) - JANUARY 2022
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BACHELOR OF BUSINESS ADMINISTRATION YEAR 1— ACADEMIC AND ASSESSMENT
QUESTION THREE
3.1
[25]
You are an owner of the Shoe outlet. You are looking for a line of men’s shoes to
retail for R 799.95. If your objective is a 55% mark-up based on selling price.
Indicate and explain what is the most that your company should charge for lhe
shoes to still get the desired mark-up.
3.2
(3)
A microwave oven cost The Appliance Warehouse R1413.00 and was initially
marked up by 55% based on selling price. In the next few months, the item was
marked down 20%, marked up 15%, marked down 10O
Indicate with an explanation the final selling price of the microwave oven?
3.3
(5)
Craftmans's Village originally sold panelling for R275 per sheet. When the stock
was almost depleted, the price was market down 60% to make room for incoming
merchandise. What was the sale price for panelling?
3.5
(3)
You are the manager of Motown Hardware. You are currently selling Energy
Max batteries for R49.90. The cost of the batteries is R32.50.
3.5.1 Indicate the amount of the marhup on these batteries.
(2)
3.5.2 Explain what your percent markup is based on selling price.
(3)
3.5.3 If the supplier reduces the cost to R29 as a promotional trade discount
this week, what is your new amount of markup and what is the percent
markup based on selling price?
3.6
(4)
You work in the tool department of Spark. A customer comes to you with a
special coupon for a 10% discount the store is already running a 30% off sale.
The item the costumer has in hand is priced at R 200. She claims that she is
entitled to 40% discount. Your manager says that the 10% discot‹nt is taken off
the final price after the initial 300 is deducted. Are the final prices the same?
Use calculations to support your answer.
REGENT BUSINESS SCHOOL (RBS) - JANUARY 2022
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BACHELOR OF BUSINESS AD8AINtSTRATION YEAR 1 - ACADEMIC AND ASSESSMENT
QUESTION FOUR
4.1
[25]
Every year after Mary has paid all her additional expenses and treated herself
to some luxuries, she still has R4 200 from her annual bonus available in her
bank account. She wants to save this amount and decided to deposit this
amount, on an annual basis, for the next 3 years. The special savings account
she decided on earns interest at 120 , compounded annually.
Calculate the total value of Mary’s special savings account at the end of year three. (4)
4.2
Helen will be investing an amount of R3 900 annually at the end of each of the
following four years. She will earn compounded interest of 14Oa per annum.
Calculate the present value of Helen’s investment.
4.3
(5)
Simeon wants to invest an amount now that will have a total value of R10 000
after five years. The compounded interest rate of lhe investment is 12% per
annum.
Calculate the amount that Simeon will have to invest today to receive R10 000 at the end
of year five.
4.4
(5)
Today is Michaela’s birthday. She received a total of R2 000 cash as presents
from her friends and family. She wants to invest this money and decided on
a fixed term bank deposit for six years at an annual compounded interest
rate of 16%.
Calculate the value of her investment at the end of year six.
(5)
4.5 Suppose that R25 000 amounts to R37 500 in 6 years with interest compounded
monthly.
Indicate what annual rate of compound interest has been used.
4.6
How long will it take R30 000 to amount to R50 000 it interest is at 4%
REGEMT BUSINESS SCHOOL (RBS) - JANUARY 2022
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