Question 1:
The table provides a hypothetical bundle of goods and their respective prices for the three different years. If 2010 is selected as the base year, what is the CPI in 2014?
Product | Q 2010 | Q 2014 | Q 2017 | P 2010 | P 2014 | P 2017 |
Apples | 10 | 11 | 12 | $3.00 | $4.00 | $4.25 |
Coffee beans | 50 | 50 | 55 | $8.00 | $9.00 | $10.00 |
Cereal | 20 | 25 | 29 | $3.50 | $3.75 | $3.75 |
Formula for CPI is [(Cost of market basket at given year)/ cost of market basket in base year ]*100
So cost of market basket in 2014 = Price of the good in 2014*quantity of goods in base year
= 4*10+9*50+20*3.75
=$ 565
Cost of market basket in base year ie 2010 = quantity in 2010*prices in 2010
= $(3*10)+(50*8)+(3.5*20)
= $ 500
CPI in 2014 = Cost of market basket in 2014/ Cost of market basket in 2010 *100 = (565/500)*100 = 113
(you can comment for doubts )
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