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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 determine the price for 520 g of chicken, first find the price per gram. From the table, 1 kg of chicken costs Rs200, which is equivalent to 1000 g. Therefore, the cost per gram is:

rac{200}{1000} = 0.20 ext{ Rs/g}

Now, for 520 g, the calculation will be:

520extgimes0.20extRs/g=104extRs520 ext{ g} imes 0.20 ext{ Rs/g} = 104 ext{ Rs}

Thus, the price for 520 g of chicken is Rs104.

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 for making one plate of chicken biryani, we need to find the total cost of ingredients for 8 plates first:

  • Chicken: Rs200
  • Basmati rice: Rs160
  • Masala powder: Rs12
  • Other ingredients: Rs60

Total cost for 8 plates is:

200+160+12+60=432extRs200 + 160 + 12 + 60 = 432 ext{ Rs}

Cost per plate (excluding packaging) is:

rac{432}{8} = 54 ext{ Rs}

The packaging cost per plate is Rs2.43.

So, the total cost per plate is:

54+2.43=56.43extRs54 + 2.43 = 56.43 ext{ Rs}

Step 3

Bobby claims that he can make more than 50% profit on one plate of chicken biryani. Verify, by showing ALL calculations, if his claim is valid.

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Answer

To check Bobby's claim, we first calculate the profit:

  • Selling price per plate = Rs80
  • Cost price per plate = Rs56.43

Profit is given by:

extProfit=extSellingPriceextCostPrice=8056.43=23.57extRs ext{Profit} = ext{Selling Price} - ext{Cost Price} = 80 - 56.43 = 23.57 ext{ Rs}

To find the profit percentage:

ext{Profit Percentage} = rac{23.57}{56.43} imes 100 ext{ \\ {\%}} \\" = 41.78\%

Since 41.78% is less than 50%, Bobby's claim is NOT VALID.

Step 4

Determine (in ZAR) the price of masala powder.

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Answer

The cost of masala powder is Rs12. To convert this into South African Rand (ZAR), we use the exchange rate:

1extZAR=0.206839extRs1 ext{ ZAR} = 0.206839 ext{ Rs}

Rearranging gives:

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