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

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Amooh 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 i... show full transcript

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

Step 1

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

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Answer

To find the balance on 22/10/2015, refer to the statement in ANNEXURE A. The balance is calculated by considering all deposits and withdrawals leading up to that date. As a result, the balance is R8 060,27.

Step 2

Calculate the monthly interest amount on 31/10/2015

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Answer

The monthly interest is calculated using the formula:

extInterest=extBalanceimesextRate÷100 ext{Interest} = ext{Balance} imes ext{Rate} \div 100

For the given balance of R4 050,98 on 31/10/2015 at an interest rate of 4,21%, the calculation yields:
extInterest=R4050,98×4.21÷100=R17,21ext{Interest} = R4 050,98 \times 4.21 \div 100 = R17,21.

Step 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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Answer

A possible account number could be 14326000XXXX, where 'XXXX' represents the last four digits that are omitted.

Step 4

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

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Answer

The person who transferred an amount of money into this account is Mdiso Khaila.

Step 5

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

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Answer

The statement lists 0 unprocessed transaction items.

Step 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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Answer

To calculate the probability, identify the total number of transactions and the number of transactions within the specified date range. The probability is given by:

P=Number of desired outcomesTotal number of outcomesP = \frac{\text{Number of desired outcomes}}{\text{Total number of outcomes}}.

Step 7

Show how this amount was calculated.

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Answer

To isolate the amount without VAT from the total of R19,60, apply the VAT formula.
First, the amount before VAT can be calculated as:
Amount without VAT=19.601.14=R17,19\text{Amount without VAT} = \frac{19.60}{1.14} = R17,19.

Step 8

Calculate the VAT amount for R19,60.

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Answer

The VAT amount can be calculated as follows:
extVAT=Total VAT inclusiveAmount without VATorVAT=14%114%×R19,60=R2,41.ext{VAT} = \text{Total VAT inclusive} - \text{Amount without VAT} \quad \text{or} \quad \text{VAT} = \frac{14\%}{114\%} \times R19,60 = R2,41.
Thus, the VAT amount is R2,41.

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