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A local Shoprite store is advertising discounted prices on a variety of meat products as part of a weekly promotion. The table below shows the cost of selected items and quantity, both excluding and including 15% VAT.

Mathematics

ScanSolve AI Answer

Answer

R40.86\text{R}40.86

Step-by-step solution

4 steps

To calculate the value of A, we use the given amount including 15% VAT and the VAT rate.

  1. Identify the given values from the table.

    The amount including 15% VAT for Riversmead farm fresh whole chicken per kg is R46,99.
    The amount excluding 15% VAT is A.
    The VAT rate is 15%, which is 0.15.

  2. Set up the formula relating the amount including VAT to the amount excluding VAT.

    The amount including VAT is the amount excluding VAT plus 15% of the amount excluding VAT.

    Amount including VAT=Amount excluding VAT×(1+VAT rate)\text{Amount including VAT} = \text{Amount excluding VAT} \times (1 + \text{VAT rate}) 46.99=A×(1+0.15)46.99 = A \times (1 + 0.15) 46.99=A×1.1546.99 = A \times 1.15
  3. Solve for A.

    To find A, divide the amount including VAT by 1.15.

    A=46.991.15A = \frac{46.99}{1.15} A=40.860869...A = 40.860869...
  4. Round the answer to two decimal places, as it represents currency.

    A≈40.86A \approx 40.86

    The value of A is R40,86.

    The final answer is R40.86\text{R}40.86.

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