Yes there is a proportional relationship between the original price of an item and its price after the discount assuming a store is offering a 20% discount on all items
Let p represent original price of the commodity
Let the current price be:
Current price (p1)=Original price-Discount amount
Current price (p1)=P-Px20%)
Current price (p1)=p(1-20%)
Current price (p1)=0.8P
Hence:
P1=0.8P
P1÷P=0.8
Based on the above there is a proportional relationship between the original price of an item and its price after the discount.
Inconclusion Yes there is a proportional relationship between the original price of an item and its price after the discount assuming a store is offering a 20% discount on all items.
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