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Question 1

1.1 Your friend, Kim, has asked you to help him with his bank statement. He is sure there are
some errors on the bank statement as some things just do not make sense to him. Below is
a copy of Kim’s bank statement.

(NOTE: EFT means electronic funds transfer.)

  • The fee for deposits is R2,00 plus R1,00 for every R100,00.
  • Stop order payments cost R2,50 regardless of the amount.
  • Card purchases cost R1,00 regardless of the amount.
  • Rent is Kim’s biggest expense.

Use the above bank statement to answer the questions below.

1.1.1 Determine the missing value of A. (2)

1.1.2 Kim claims that there is a mistake in the fees column. Indicate where this mistake
occurred and verify, with the necessary calculations, whether his statement is valid
or not. (4)

1.1.3 The bank has confirmed that there is indeed an error on his statement. If the error
is corrected, what should Kim’s balance be on the 28 January 2019? (2)

1.1.4 Kim states that her bank fees for January 2019 will be more than R30,00. Verify,
with the necessary calculations, whether his estimation is valid or not. Keep in
mind that the error has been corrected. (3)

1.1.5 State ONE possible reason why banks are charging fees (to their customers). (2)

1.2 Kim received an increase in his salary of 3,5% in April 2019. He wants to save his
monthly increment and is planning to use it to build a concrete floor for his bird cage.

Kim needs a concrete mixture of 0,27 cubic metres of cement, sand and gravel to
make a concrete floor for his bird cage. He has a bucket with a capacity of 8 ℓ and a
wheelbarrow with a capacity of 50 ℓ.

Assume that 1 m3 = 1 000 litres

1.2.1 Calculate how much litres of concrete mixture will Kim need to build a floor
for his cage. (2)

1.2.2 The ratio of cement to sand to gravel is 1 : 3 : 5. How many litres of each
cement, sand and gravel is needed? Assume that the volume of the concrete is
more or less the same as the sum of the volumes of all the ingredients (cement,
sand and gravel). (4)

1.2.3 Kim has asked Thato to do this work for him and he has agreed to do it on a
Saturday. Calculate the amount of money Kim will have to pay Thato if the
rate is R45,75 per hour (and part thereof) and he will finish the job in 5,4 hours.
NOTE: The rate is double on weekends. (3)

1.2.4 The total cost for building material is R1 524,99, excluding labour. Kim saves
his increment for six months. Verify, with the necessary calculations, whether
Kim will have enough money to start the project early in October 2019. (4)

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