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Solve the following conversion and profit problems: Convert 155g to kg. Calculate profit if CP=R12.99 and SP=R14.30. Calculate the number of 125g packets in 5kg of samp. Calculate the price per kg of

Mathematics

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Step-by-step solution

11 steps
  1. Recall the conversion factor between grams and kilograms.

    There are 1000 grams in 1 kilogram.

    1 kg=1000 g1 \text{ kg} = 1000 \text{ g}
  2. Convert 155 g to kg by dividing by 1000.

    155 g=1551000 kg=0.155 kg155 \text{ g} = \frac{155}{1000} \text{ kg} = 0.155 \text{ kg} 0.155 kg\boxed{0.155 \text{ kg}}
  3. Identify the selling price and cost price of a tin of Lucky Star pilchards from the given information.

    Cost Price = R12.99
    Selling Price = R14.30

  4. Calculate the profit using the formula

    Profit = Selling Price - Cost Price.

    Profit=R14.30−R12.99\text{Profit} = \text{R}14.30 - \text{R}12.99 Profit=R1.31\text{Profit} = \text{R}1.31 R1.31\boxed{\text{R}1.31}
  5. Determine the total mass of the Iwisa samp in grams.

    Jabu buys a 5 kg Iwisa samp.
    Since 1 kg = 1000 g,

    5 kg=5×1000 g=5000 g5 \text{ kg} = 5 \times 1000 \text{ g} = 5000 \text{ g}
  6. Determine the mass of each smaller packet.

    Each smaller packet is 125 g.

  7. Calculate the number of packets by dividing the total mass by the mass of one packet.

    Number of packets=Total mass of sampMass per packet\text{Number of packets} = \frac{\text{Total mass of samp}}{\text{Mass per packet}} Number of packets=5000 g125 g=40\text{Number of packets} = \frac{5000 \text{ g}}{125 \text{ g}} = 40 40 packets\boxed{40 \text{ packets}}
  8. Identify the selling price of the 10 kg Tastic rice.

    Selling Price of 10 kg Tastic rice = R192.49.

  9. Determine the number of smaller packets the 10 kg rice is divided into.

    The 10 kg Tastic rice is divided into 8 smaller packets.

  10. Calculate the selling price of one small packet by dividing the total selling price by the number of packets.

    Selling price of one small packet=Selling price of 10 kg riceNumber of small packets\text{Selling price of one small packet} = \frac{\text{Selling price of 10 kg rice}}{\text{Number of small packets}} Selling price of one small packet=R192.498\text{Selling price of one small packet} = \frac{\text{R}192.49}{8} Selling price of one small packet=R24.06125\text{Selling price of one small packet} = \text{R}24.06125
  11. Round the selling price to two decimal places, as it is a monetary value.

    Selling price of one small packet≈R24.06\text{Selling price of one small packet} \approx \text{R}24.06 R24.06\boxed{\text{R}24.06}
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