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5 January, 11:27

An investment in Pear Computers has an initial value of $5,000. A second investment in Macrosoft Computers has an initial value of $7,500. The Pear stock falls by the same percentage as the Macrosoft stock rises. If the new combined investment value is $13,000, by what percentage did the Pear stock fall and the Macrosoft stock rise

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  1. 5 January, 13:03
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    Pear stock fell by 20% to $4000 and Macrosoft rose by 20% to $9000

    Explanation:

    Total value = pear computers + macrosoft

    $13000 = (5000-5000*X) + (7500+7500*X)

    13000 = 5000-X5000+7500+X7500

    13000-5000-7500=X2500

    500=X2500

    X=500/2500

    X=0.2*100=20%.
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