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

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Ben buys a bicycle on lay-bye 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 pe... show full transcript

Worked Solution & Example Answer:Ben buys a bicycle on lay-bye 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 find the percentage of the deposit relative to the purchase price, we use the formula:

Percentage=DepositPurchase Price×100\text{Percentage} = \frac{\text{Deposit}}{\text{Purchase Price}} \times 100

Substituting the values:

Percentage=7503200×100=23.44%\text{Percentage} = \frac{750}{3200} \times 100 = 23.44\%

Therefore, the deposit is 23.44% of the purchase price.

Step 2

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

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Answer

The balance after the deposit can be calculated using:

Balance=Purchase PriceDeposit\text{Balance} = \text{Purchase Price} - \text{Deposit}

Substituting the values:

Balance=3200750=2450\text{Balance} = 3200 - 750 = 2450

Thus, the remaining balance is R2450.

Step 3

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

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Answer

The total amount paid can be calculated as follows:

Total Amount Paid=Deposit+(Monthly Payment×Number of Payments)\text{Total Amount Paid} = \text{Deposit} + (\text{Monthly Payment} \times \text{Number of Payments})

Substituting the values:

Total Amount Paid=750+(300×5)=750+1500=2250\text{Total Amount Paid} = 750 + (300 \times 5) = 750 + 1500 = 2250

Therefore, the total amount paid after the deposit and five instalments is R2250.

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

The rate per kilowatt-hour (kWh) is given as 0.8865 R/Kwh. To convert this to cents, we multiply by 100:

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

Thus, the rate is 88.65 cents per kWh.

Step 5

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

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Answer

To calculate the total amount charged, we compute:

Total Charged=Rate×Quantity\text{Total Charged} = \text{Rate} \times \text{Quantity}

Substituting the values:

Total Charged=0.8865×50=44.325=44.33 R (rounded)\text{Total Charged} = 0.8865 \times 50 = 44.325 = 44.33\text{ R (rounded)}

Therefore, the total amount charged for the 50 Kwh of electricity is R44.33.

Step 6

1.2.3 Write the abbreviation VAT out in full.

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Answer

The abbreviation VAT stands for 'Value Added Tax'.

Step 7

1.3.1 Determine the time when he goes off duty.

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Answer

He works for 7 hours starting at 7:30 am. The time he goes off duty can be calculated as follows:

Starting time: 7:30 am

Duration: 7 hours

Time when he goes off duty:

7:30 am + 7 hours = 2:30 pm.

Thus, he goes off duty at 2:30 pm.

Step 8

1.3.2 Calculate his income if he worked for four weeks.

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Answer

His hourly rate is R26 and he works 7 hours daily. The income for four weeks (assuming 5 working days a week) is calculated as follows:

Daily income:

Daily Income=26×7=R182\text{Daily Income} = 26 \times 7 = R182

Weekly income:

Weekly Income=182×5=R910\text{Weekly Income} = 182 \times 5 = R910

Income for 4 weeks:

Income for 4 weeks=910×4=R3640\text{Income for 4 weeks} = 910 \times 4 = R3640

Thus, his income for four weeks is R3640.

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 find the total number of people surveyed, we sum the values given:

Total People=24+32+16+13+5=90\text{Total People} = 24 + 32 + 16 + 13 + 5 = 90

Therefore, 90 people took part in the survey.

Step 13

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

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Answer

The number of people who saved less than 20% of their income is the sum of the first two categories:

People saving less than 20%=24+32=56\text{People saving less than 20\%} = 24 + 32 = 56

Thus, 56 people saved less than 20% of their income.

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 the '10-19%' category, with 32 people.

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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