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Bobby lives in India and wants to start his own take-away business - NSC Mathematical Literacy - Question 4 - 2021 - Paper 1

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Bobby lives in India and wants to start his own take-away business. His speciality is chicken biryani. All his ingredients will be bought in bulk. Bobby intends sel... show full transcript

Worked Solution & Example Answer:Bobby lives in India and wants to start his own take-away business - NSC Mathematical Literacy - Question 4 - 2021 - Paper 1

Step 1

Determine (in Rs) the price of 520 g of chicken.

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Answer

To find the price of 520 g of chicken, we calculate the cost per gram of chicken.

Given that 1 kg of chicken costs Rs200:

Cost per gram = ( \frac{200 \text{ Rs}}{1000 \text{ g}} = 0.20 \text{ Rs/g} )

For 520 g, the cost will be:

( 520 \text{ g} \times 0.20 \text{ Rs/g} = 104 \text{ Rs} )

Step 2

Calculate the total cost to make and package a plate of chicken biryani.

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Answer

To calculate the total cost of one plate of chicken biryani, we first find the total cost of ingredients for 8 plates:

Total Ingredient Cost = Rs200 (Chicken) + Rs120 (Rice) + Rs12 (Masala) + Rs60 (Other)

Total Ingredient Cost = Rs392

Dividing by 8 for the cost per plate:

Cost per plate = ( \frac{392}{8} = 49 \text{ Rs} )

Now, add the packaging cost of Rs2.43:

Total Cost per plate = Rs49 + Rs2.43 = Rs51.43.

Step 3

Bobby claims that he can make more than 50% profit on one plate of chicken biryani.

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Answer

To verify Bobby's claim, we need to calculate the profit:

Selling Price = Rs80

Cost Price = Rs51.43

Profit = 80 - 51.43 = Rs28.57

Profit percentage is calculated as:

Profit Percentage = ( \frac{Profit}{Cost Price} \times 100 = \frac{28.57}{51.43} \times 100 \approx 55.54% )

Since the profit percentage is greater than 50%, Bobby's claim is valid.

Step 4

Determine (in ZAR) the price of masala powder.

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Answer

From TABLE 5, the exchange rate is:

1 ZAR = 0.206839 Rs

Price of masala powder in Rs = Rs12

To convert to ZAR:

Price in ZAR = ( \frac{12 ext{ Rs}}{0.206839 ext{ Rs/ZAR}} \approx 57.96 ext{ ZAR} )

Step 5

Determine the number of plates sold if the total cost was R1 380,00.

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Answer

Using Janet's equation:

Total cost = R600 + 13p

Set it to R1 380:

R1 380 = R600 + 13p

Rearranging gives:

13p = R1 380 - R600 = R780

Now, divide by 13:

p = ( \frac{780}{13} = 60 )

Step 6

Determine the minimum number of plates of biryani that Janet must sell before she starts making a profit.

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Answer

To find the minimum number of plates Janet must sell, we need to find when income exceeds costs. Janet’s fixed cost is R600.

Considering her variable cost of R13 per plate, she needs to sell plates such that:

Income = Cost. This happens when:

( 13p + 600 < 13p )

To find the break-even point, we set:

Income = 13p (selling price) and Cost = R600 + 13p. For her to start making profit, the minimum p must be calculated.

Step 7

Write down, as a decimal, the probability of selecting a tourist that comes from 'Other' countries.

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Answer

To find the probability, we look at the total number of tourists from 'Other' countries divided by the total tourist arrivals. This would be calculated from the data provided in ANNEXURE C.

Step 8

State the trend in the number of tourist arrivals in India from 2015 to 2019.

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Answer

By evaluating the data from ANNEXURE C, we can identify the trend. We see whether the number of arrivals increased, decreased, or remained stable over the years.

Step 9

Verify, showing ALL calculations, whether Bobby's statement is CORRECT.

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Answer

To verify Bobby’s statement regarding tourist arrivals from Bangladesh, we calculate:

If more than 4,500,000 of 10,93 million arrivals in 2019:

Calculate as follows with the provided data to check the accuracy of Bobby's claim.

Step 10

Give a valid reason why this value is not 100%.

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Answer

The total percentage of tourist arrivals mentioned (99.8%) could be due to rounding errors, or it might indicate that some arrivals were not accounted for, leading to a slight discrepancy from a complete 100%.

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