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Mapitopi plans to purchase a bakkie (motor vehicle) - NSC Mathematical Literacy - Question 1 - 2018 - Paper 2
Question 1
Mapitopi plans to purchase a bakkie (motor vehicle). She received the following quotation from a car dealer on 28 February 2018: Extract of a quotation for a bakkie... show full transcript
Worked Solution & Example Answer:Mapitopi plans to purchase a bakkie (motor vehicle) - NSC Mathematical Literacy - Question 1 - 2018 - Paper 2
Step 1
Calculate (rounded off to ONE decimal place) the percentage discount given on the bakkie's selling price, excluding VAT.
Answer
To find the percentage discount, use the formula:
[ Discount\ Percentage = \frac{Discount}{Selling\ Price} \times 100 ]
Substituting the values:
[ Discount\ Percentage = \frac{6\ 140}{160\ 087.72} \times 100 = 3.83% ]
Rounded off to ONE decimal place, the percentage discount is 3.8%.
Step 2
Show how the amount of R166 561,76 was calculated.
Answer
To calculate the subtotal of R166 561,76, add the selling price (excluding VAT) and the applicable extras and other charges:
[ Subtotal = Selling\ Price - Discount + Accessories + Other\ Charges \ ]
Substituting the values:
[ Subtotal = 160\ 087.72 - 6\ 140 + 3\ 500 + 3\ 500 + 4\ 298.25 + 1\ 315.79 \ = 166\ 561.76 ]
Thus, the subtotal is R166 561,76.
Step 3
Give ONE reason why customers would prefer to install the accessories (extras), as shown in the quotation.
Answer
Customers may prefer to install accessories like smash-and-grab films and door protectors for safety reasons. These features enhance vehicle security and protect against potential theft or damage.
Step 4
Show whether the interest earned on this investment is sufficient to cover the total purchase price of R189 880,41.
Answer
To determine if the investment interest is sufficient, first calculate the interest earned using the formula:
[ A = P(1 + r)^t ]
Where:
- A is the amount of money accumulated after n years, including interest.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (decimal).
- t is the time the money is invested for (in years).
Substituting values:
- P = R1,250,000
- r = 0.06
- t = 27/12 years = 2.25 years
Calculating:
[ A = 1\ 250\ 000 \times (1 + 0.06)^{2.25} = 1\ 250\ 000 \times 1.144230 = 1\ 430\ 287.5 ]
The interest earned: [ Interest\ Earned = A - P = 1\ 430\ 287.5 - 1\ 250\ 000 = 180\ 287.5 ]
Since the interest earned (R180 287.50) is less than the total purchase price (R189 880.41), the investment interest is not sufficient.