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

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

• Cost of chicken for 1 plate: rac{200 ext{ Rs}}{8} = 25 ext{ Rs}
• Cost of basmati rice for 1 plate: rac{160 ext{ Rs}}{8} = 20 ext{ Rs}
• Cost of masala powder for 1 plate: rac{12 ext{ Rs}}{8} = 1.5 ext{ Rs}
• Cost of other ingredients for 1 plate: rac{20 ext{ Rs}}{8} = 2.5 ext{ Rs}
• Cost of disposable container: 2.43 Rs.

Now, summing these costs:

$25 ext{ Rs} + 20 ext{ Rs} + 1.5 ext{ Rs} + 2.5 ext{ Rs} + 2.43 ext{ Rs} = 51.43 ext{ Rs}$

Thus, the total cost to make and package a plate of chicken biryani is Rs51.43.

To find out if Bobby can make more than 50% profit, we first calculate his cost and selling price:

• Cost to make one plate: Rs51.43.
• Selling price: Rs80.

Now, we compute the profit:

$ext{Profit} = ext{Selling Price} - ext{Cost} = 80 - 51.43 = 28.57 ext{ Rs}$

Next, we calculate the profit percentage:

ext{Profit Percentage} = rac{ ext{Profit}}{ ext{Cost}} imes 100 = rac{28.57}{51.43} imes 100 \\ ext{≈ } 55.55 ext{%}

Since 55.55% is greater than 50%, Bobby's claim is VALID.

We first find the cost of masala powder in Indian Rupees. Since it costs Rs12 for 8 plates, the cost per plate is:

rac{12 ext{ Rs}}{8} = 1.5 ext{ Rs}

Now, we convert this cost to South African Rands using the exchange rate:

1 ext{ Rs} = rac{1}{0.206839} ext{ ZAR} \\ ext{Price in ZAR} = 1.5 ext{ Rs} imes 0.206839 = 0.31 ext{ ZAR}

Thus, the price of masala powder is approximately R0.31.

To find the number of plates sold, we use Janet's total cost equation:

Total cost = R600 + 13p,

Setting it equal to R1 380, we solve for p:

R600 + 13p = R1 380 \\ 13p = R1 380 - R600 = R780 \\ p = rac{780}{13} = 60

Therefore, Janet must sell 60 plates.

To graph Janet's total cost against the number of plates:

• Plot points for each number of plates from TABLE 6: 0, 10, 30, 50, 100 against their corresponding costs: 600, 730, 950, 1250, 1900.
• Connect these points with a line to illustrate the total cost increase as the number of plates increases.

To find the minimum number of plates required for profit, we set the income greater than the total cost:

• Fixed cost: R600.
• Variable cost per plate: R13.
• For profit: $ext{Income} = 13p + 600 > 13p \text{ \\} \\ ext{At minimum, must equal } 13p + 600 = 13p + 1 \\ ext{Minimum plates} = 600/13 \\ p = 46.15$

Rounding up, Janet must sell at least 47 plates to start making a profit.

To determine the probability, we find the proportion of tourists from 'Other' countries relative to total arrivals. If the proportion of 'Other' tourists is given as a percentage, we convert it to decimal form:

If 15% of tourists come from 'Other' countries:

ext{Probability} = rac{15}{100} = 0.15

Thus, the probability is 0.15.

The trend indicates an increase in tourist arrivals in India from 2015 to 2019. Observing the data points shows a consistent uptick, suggesting that India's tourism sector has been growing during these years.

To verify Bobby's statement:

We need the total number of tourist arrivals in 2019, which is given as 10.93 million and check if more than 4.5 million came from Bangladesh:

If the proportion from Bangladesh is 40%, then: $10.93 ext{ million} imes 0.4 = 4.372 ext{ million}$

Since 4.372 million is less than 4.5 million, Bobby’s statement is NOT TRUE.

The value not being 100% can be attributed to the possibility of unaccounted tourists. This may include individuals who fall under categories not specified in the survey or reporting errors, leading to incomplete data representation.