algebra

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-Alan sold his bike to Dan making a 20% profit. Dan sold the bike to Carol for $180 which was a 25% profit for Dan. How much did Alan originally pay for the bike?
- A positive number is increased by 20%. This new number is now decreased by 20%. To obtain this final result the original positive number could be___.
a) left alone b) increased by 4% c) increased by 2% d) decreased by 4%
e) decreased by 2%

  • algebra -

    Dan to Carol:
    C + 0.25C = $180.
    1.25C = 180
    C = $144. = Dan's cost.

    Alan to Dan:
    C + 0.2C = $144.
    1.2C = 144
    C = $120. = Alan's cost.

    (N+0.2N)-0.2(N+0.2N) =
    N+0.2N-0.2N-0.04N = 0.96N.
    0.96N/N = 0.96 = 96%.

    96% - 100% = -4% = 4% Decrease.

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