Ben buys a bicycle on lay-bye for R3 200 - NSC Mathematical Literacy - Question 1 - 2017 - Paper 1
Question 1
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=Purchase PriceDeposit×100
Substituting the values:
Percentage=3200750×100=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 Price−Deposit
Substituting the values:
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)
Substituting the values:
Total Amount Paid=750+(300×5)=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
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
Substituting the values:
Total Charged=0.8865×50=44.325=44.33 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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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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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
Weekly income:
Weekly Income=182×5=R910
Income for 4 weeks:
Income for 4 weeks=910×4=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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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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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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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
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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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
Thus, 56 people saved less than 20% of their income.
Step 14
1.5.3 What was the modal range?
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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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The type of graph used to display the information is a bar graph.