Here, we are required to determine by what percent does the store have to increase the price of the item in order to sell it for the original amount.
The store needs to increase the price by 11.11% of the original price.
The store intends to display a 10% off price slash on the item: This means the store is selling the item to the customers at a perceived 90% of the new price.
From the statements in the question;
90% of the new price must be equal to the former price;
Assumption: Let the original price be 100 and the new price = x.
Therefore;
By cross product;
x = 10000/90 = 111.11
The percent by which the price is increased is therefore given as;
(111.11 - 100)/100 × 100% = 11.11%
Therefore, the store needs to increase the price by 11.11% of the original price.
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