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1.1 Ben buys a bicycle on lay-by for R3 200 - NSC Mathematical Literacy - Question 1 - 2017 - Paper 1

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1.1 Ben buys a bicycle on lay-by for R3 200. He pays a deposit of R750 and afterwards chose to pay R300 monthly to cover the balance. 1.1.1 Express the deposit as a... show full transcript

Worked Solution & Example Answer:1.1 Ben buys a bicycle on lay-by for R3 200 - NSC Mathematical Literacy - Question 1 - 2017 - Paper 1

Step 1

1.1.1 Express the deposit as a percentage of the purchase price.

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Answer

To express the deposit as a percentage of the purchase price, we use the formula:

DepositPurchase Price×100=7503200×100=23.44%\frac{\text{Deposit}}{\text{Purchase Price}} \times 100 = \frac{750}{3200} \times 100 = 23.44\%

Step 2

1.1.2 Determine the balance, after the deposit has been paid.

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Answer

The balance after the deposit has been paid can be calculated as:

Balance=Purchase PriceDeposit=3200750=2450\text{Balance} = \text{Purchase Price} - \text{Deposit} = 3200 - 750 = 2450

Step 3

1.1.3 Determine the total amount paid after the deposit and five instalments have been paid.

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Answer

To find the total amount paid, add the deposit and the total of the five monthly instalments:

Total Paid=Deposit+5×Monthly Payment=750+5×300=2250\text{Total Paid} = \text{Deposit} + 5 \times \text{Monthly Payment} = 750 + 5 \times 300 = 2250

Step 4

1.2.1 Calculate the rate (in cents) for the tariffs charged for the 50 Kwh of electricity.

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Answer

To calculate the rate in cents, we convert R0.8865 to cents:

Rate in cents=0.8865×100=88.65 cents\text{Rate in cents} = 0.8865 \times 100 = 88.65\text{ cents}

Step 5

1.2.2 Calculate the total amount charged for the 50 Kwh of electricity.

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Answer

The total amount charged can be calculated by multiplying the rate by the amount of electricity bought:

Total Amount=50×0.8865=R44.33\text{Total Amount} = 50 \times 0.8865 = R44.33

Step 6

1.2.3 Write the abbreviation VAT out in full.

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Answer

VAT stands for Value Added Tax.

Step 7

1.3.1 Determine the time when he goes off duty.

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Answer

The time when he goes off duty can be calculated as follows:

[ 7:30 + 7 \text{ hours} = 15:30 ]
Including breaks:

  • 15 min break and 45 min lunch = 1 hour total.
  • Thus, duty ends at 15:30.

Step 8

1.3.2 Calculate his income if he worked for four weeks.

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Answer

His income can be calculated by:

Income=Hourly Rate×Hours Worked Per Week×4 weeks=26×(7×5)×4=R3,640\text{Income} = \text{Hourly Rate} \times \text{Hours Worked Per Week} \times 4 \text{ weeks} = 26 \times (7 \times 5) \times 4 = R3,640

Step 9

1.4.1 Write down the distance between Mafikeng and Port Elizabeth.

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Answer

The distance between Mafikeng and Port Elizabeth is 141 km.

Step 10

1.4.2 Name two cities that are equal distance from Kimberley.

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Answer

The two cities that are equal distance from Kimberley are East London and Polokwane.

Step 11

1.4.3 Which two cities are furthest apart?

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Answer

The two cities that are furthest apart are Durban and Cape Town.

Step 12

1.5.1 Determine the number of people that took part in the survey.

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Answer

To determine the total number of people that took part in the survey, we add the totals shown in the graph:

24+32+16+13+5=9024 + 32 + 16 + 13 + 5 = 90

Step 13

1.5.2 Calculate the number of people who saved less than 20% of their income.

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Answer

To find the number of people who saved less than 20%, we add the corresponding bars:

24+32=5624 + 32 = 56

Step 14

1.5.3 What was the modal range?

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Answer

The modal range is the category with the highest frequency, which is '10-19%', with 32 people saving in that range.

Step 15

1.5.4 Write down the type of graph used to display the information.

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Answer

The type of graph used to display the information is a bar graph.

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