# 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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