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What was the price of a dress in 2013 if it cost R1,300.95 in 2014 and the inflation rate in 2013 was 6.5%?

Economics

ScanSolve AI Answer

Answer

R1221,55\text{R}1221,55

Step-by-step solution

5 steps
  1. Identify the given values.

    The price of the dress in 2014 (FVFV) is R1 300,95.
    The inflation rate for 2013 (rr) was 6,5%. We are looking for the price in 2013 (PVPV).

  2. Convert the inflation rate to a decimal.

    6,5%=6,5100=0,0656,5\% = \frac{6,5}{100} = 0,065
  3. Use the inflation formula to find the past price.

    The future price is calculated as FV=PV×(1+r)FV = PV \times (1 + r).
    To find the past price (PVPV), we rearrange the formula:

    PV=FV(1+r)PV = \frac{FV}{(1 + r)}
  4. Substitute the given values into the formula.

    PV=R1300,95(1+0,065)PV = \frac{\text{R}1 300,95}{(1 + 0,065)} PV=R1300,951,065PV = \frac{\text{R}1 300,95}{1,065} PV=R1221,549295...PV = \text{R}1221,549295...
  5. Round the answer to two decimal places, as it represents currency.

    PV≈R1221,55PV \approx \text{R}1221,55

    The price of the dress in 2013 was R1221,55.

    The final answer is R1221,55\text{R}1221,55.

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