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13 December, 20:48

Lena invested her savings in two investment funds. The $6000 that she invested in Fund A returned a 6% profit. The amount that she invested in Fund B returned a 1% profit. How much did she invest in Fund B, if both funds together returned a 4% profit?

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  1. 13 December, 21:01
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    The amount that Lena will invest in fund B would be $4000.

    Explanation:

    Given information -

    Amount invested in fund A - $6000

    Return earned on fund A - 6%

    Let us assume amount invested in fund B be x

    Return earned on fund B - 1%

    Return on both funds together - 4%

    Let us assume the total amount of fund invested be ($6000 + x)

    Now using simple equation, we will take out the value of x which is the amount invested in fund B -

    $6000 X 6% + x X 1% = 4% ($6000 + x)

    = $360 +.01 x = $240 +.04 x

    = $360 - $240 =.04 x -.01 x

    $120 =.03 x

    x = $120 /.03

    = $4000.
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