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1.1.1 Communication costs decreased by 4,402% from 2015 to 2016 - NSC Mathematical Literacy - Question 1 - 2017 - Paper 2

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1.1.1 Communication costs decreased by 4,402% from 2015 to 2016. Calculate (to the nearest thousand rand) the communication costs for 2016. 1.1.2 The SANBS imports... show full transcript

Worked Solution & Example Answer:1.1.1 Communication costs decreased by 4,402% from 2015 to 2016 - NSC Mathematical Literacy - Question 1 - 2017 - Paper 2

Step 1

Communication costs decreased by 4,402% from 2015 to 2016.

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Answer

To calculate the decrease in communication costs, we start with the 2015 amount, which is R32,187,000. The decrease can be calculated as follows:

  1. Calculate the decrease amount:

    Decrease \ amount = R32,187,000 \times \frac{4.402}{100} = R1,416,871\

  2. Subtract this decrease from the 2015 costs to find the 2016 costs:

    Communication costs for 2016=R32,187,000R1,416,871=R30,770,129Communication \ costs \ for \ 2016 = R32,187,000 - R1,416,871 = R30,770,129

    Rounding to the nearest thousand,

    Communication costs for 2016R30,770,000Communication \ costs \ for \ 2016 \approx R30,770,000

Step 2

The SANBS imports 75% of its product testing material and consumables. Explain what possible impact a weaker rand will have on their total profit for the year.

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Answer

A weaker rand increases the import costs for the SANBS, as they rely on importing 75% of their product testing materials and consumables. This rise in costs may significantly reduce their total profit since a larger portion of their expenses would increase relative to their income. If the costs increase without a corresponding increase in revenue, their profit margins will shrink, negatively affecting their overall profitability.

Step 3

Compare, showing ALL calculations, the 2015 and 2016 percentage profit for the SANBS.

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Answer

To calculate the percentage profit for both years, we use the formula provided:

Percentage profit=(Annual Total ProfitTotal Annual Primary Income×100)Percentage \ profit = \left( \frac{Annual \ Total \ Profit}{Total \ Annual \ Primary \ Income} \times 100 \right)

  1. For 2015, let’s assume:

    • Annual Total Profit (2015) = RXXXX
    • Total Annual Primary Income (2015) = RYXXX
    • Then, the calculation is: Percentage profit 2015=(XXXXYYYY×100)Percentage \ profit \ 2015 = \left( \frac{XXXX}{YYYY} \times 100 \right)
  2. For 2016, let’s assume:

    • Annual Total Profit (2016) = RZZZZ
    • Total Annual Primary Income (2016) = RAAZZ
    • The calculation is: Percentage profit 2016=(ZZZZAAZZ×100)Percentage \ profit \ 2016 = \left( \frac{ZZZZ}{AAZZ} \times 100 \right)
  3. Lastly, compare both results to highlight any changes in percentage profit.

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