The inflation rate over the year from January 2019 to January 2020 was 2% - HSC - SSCE Mathematics Standard - Question 21 - 2020 - Paper 1
Question 21
The inflation rate over the year from January 2019 to January 2020 was 2%.
The cost of a school jumper in January 2020 was $122.
Calculate the cost of the jumper i... show full transcript
Worked Solution & Example Answer:The inflation rate over the year from January 2019 to January 2020 was 2% - HSC - SSCE Mathematics Standard - Question 21 - 2020 - Paper 1
Step 1
Calculate the cost of the jumper in January 2019
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Answer
To determine the cost of the jumper in January 2019, we can use the formula for adjusting for inflation:
ext{Cost in 2019} = rac{ ext{Cost in 2020}}{1 + ext{Inflation Rate}}
Substituting the values we have:
ext{Cost in 2019} = rac{122}{1 + 0.02} = rac{122}{1.02}
Calculating this gives:
extCostin2019extisapproximately119.61
Therefore, the cost of the jumper in January 2019 was approximately $119.61.