By algebraic handling we conclude that the original price of the cape is $ 59.52 and Clark paid $ 131.52.
What was the original price of the cape?
Herein we know the case of man who bought a cape, he paid a certain amount of money and receiving a discount and being charged with sales tax and received money in change. This situation can be represented mathematically by this model:
50 = [1 + (5 % / 100 %)] · [1 - (20 % / 100 %)] · C (1)
Where C is the original price of the cape, in US dollars.
C = 50 / [[1 + (5 % / 100 %)] · [1 - (20 % / 100 %)]]
C = 50 / (1.05 · 0.80)
C = 59.52
By algebraic handling we conclude that the original price of the cape is $ 59.52 and Clark paid $ 131.52.
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