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Amooli Siya has a savings account at CPT Bank - NSC Mathematical Literacy - Question 2 - 2017 - Paper 1

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Amooli Siya has a savings account at CPT Bank. On ANNEXURE A is a statement for the period 22/10/2015 to 20/12/2015. Some of the amounts have been omitted. Use the ... show full transcript

Worked Solution & Example Answer:Amooli Siya has a savings account at CPT Bank - NSC Mathematical Literacy - Question 2 - 2017 - Paper 1

Step 1

2.1.1 Determine the balance in the savings account on 22/10/2015.

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Answer

To determine the balance on 22/10/2015, refer to the statement provided in ANNEXURE A and identify the total amount listed for that date. Ensure both correct amounts are summed up accurately to find the balance.

Step 2

2.1.2 Calculate the monthly interest amount on 31/10/2015.

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Answer

Calculate the monthly interest using the following formula:

I=P×r×tI = P \times r \times t

Where:

  • II is the interest earned,
  • PP is the principal amount,
  • rr is the interest rate per annum (converted to a monthly rate),
  • tt is the time in months, which is 1 for this calculation.

Step 3

2.1.3 To prevent fraud, the bank omits the last four digits from the account number. Give an example of a possible account number for this statement.

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An example of a possible account number could be 14326000XX, where 'XX' represents the last four digits that are omitted to maintain security.

Step 4

2.1.4 Name the person who transferred an amount of money into this account.

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Answer

The name of the person who transferred money into the account can be found in the transaction details provided in ANNEXURE A.

Step 5

2.1.5 Write down the number of unprocessed transaction items on this statement.

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Answer

Review the statement on ANNEXURE A to count the number of transactions listed as 'unprocessed' and record the total.

Step 6

2.1.6 Determine the probability of randomly selecting a transaction from this statement that was made from 1 December 2015 to 20 December 2015.

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The probability can be calculated using the formula:

P=FavorableoutcomesTotaloutcomesP = \frac{Favorable \: outcomes}{Total \: outcomes}

Where the favorable outcomes are the number of transactions within the specified date range, and total outcomes are the total transactions within the statement period.

Step 7

2.1.7 The total VAT inclusive amount on this statement is R19,60.

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Answer

(a) To show how this amount was calculated, note that R19,60 includes VAT. The VAT can be extracted using the formula for VAT-inclusive prices:

AmountwithoutVAT=Totalamount1+VATrateAmount \: without \: VAT = \frac{Total \: amount}{1 + VAT \: rate}

Assuming a VAT rate of 14%:

AmountwithoutVAT=R19,601+0.14=R17,19Amount \: without \: VAT = \frac{R19,60}{1 + 0.14} = R17,19 (b) To calculate the VAT amount:

VATamount=TotalamountAmountwithoutVATVAT \: amount = Total \: amount - Amount \: without \: VAT

Therefore:

VATamount=R19,60R17,19=R2,41VAT \: amount = R19,60 - R17,19 = R2,41

Step 8

2.2.1 Name the item that gives the Msunduzi municipality the most income.

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Answer

Identify the income-generating item from the provided budget in ANNEXURE B that contributes the highest revenue to the municipality.

Step 9

2.2.2 Calculate the difference between the total income of the preaudit outcome and the original budget for 2015/16.

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Answer

To calculate the difference, subtract the preaudit outcome from the original budget value obtained from ANNEXURE B:

Step 10

2.2.3 Write down the expected income from service charges for 2016/17 in billions, rounded off to one decimal place.

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Answer

Reference ANNEXURE B for the expected income figure from service charges and round to one decimal place.

Step 11

2.2.4 Determine the missing value B.

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Answer

Use the values provided in ANNEXURE B to perform calculations necessary to identify the missing value B.

Step 12

2.2.5 Calculate the total income value A and state whether it is a surplus or a deficit.

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Answer

Total income can be calculated by summing all income figures listed in ANNEXURE B. Compare total income to total expenditure to determine if there is a surplus or deficit.

Step 13

2.2.6 Calculate the percentage increase in councillors' remuneration from 2015/16 to 2016/17.

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Answer

Utilize the formula for percentage increase:

Percentageincrease=DifferenceinremunerationOriginalbudgetedremuneration×100Percentage \, increase = \frac{Difference \, in \, remuneration}{Original \, budgeted \, remuneration} \times 100

Use the values from the respective years to perform this calculation.

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