Based on the price the computer was reduced by and the profit the shopkeeper still made, if the computer was sold at full price, the profit percentage would have been 50%.
What would the profit have been at full price?
First assume a price the computer was sold at. We'll go with $100.
At this price, the shopkeeper still made a profit of 20% which means that the cost price was;
= 100 / (1 + 20%)
= $83.33
Based on the discounted price of $100, the full price was:
= 100 / (1 - 20%)
= $125
The profit the shopkeeper would have made is:
= (Full price - Cost price) / Cost price x 100%
= (125 - 83.33) / 83.33 x 100%
= 50%
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