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17 February, 11:18

John Wong makes $63,800 per year maintaining a self-storage business. He was notified of a 3.3% raise in a year in which the CPI index increased by 4.4%. Find the gain or loss in his purchasing power.

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  1. 17 February, 12:47
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    loss = - 672.3 ...

    Step-by-step explanation:

    According to the given statement John was notified of a 3.3% raise in a year. It shows the income increases.

    Raise in a year = 3.3% = 0.033

    Raise = old income * 0.033 = 63,800*0.033 = $ 2105.4

    New income = $63,800 + $ 2105.4 = $65905.4

    Now the statements states that CPI index increased by 4.4%

    Then,

    the price index of previous year = 100

    and the price index of this year = 100+4.4 = 104.4

    100/104.4 = x/65905.4

    By cross multiplication:

    x = 65905.4 * 100 / 104.4

    x=63127.7

    Therefore the change in his purchasing power is $63127.7 - $63,800

    = - 672.3

    The answer contains negative sign which shows loss in purchasing power

    Hence loss = - 672.3 ...
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