Question

A shopkeeper increase the original price of an item to its twice.if the initial gain percentage is 9%,what is the new gain percentage?

Answer 1

new gain percentage is 118 %

Let the original price of an item is x

initial profit is 9%

so, selling price = x + 9% of x = 109x/100

now shopkeeper increase the original price of the item to its twice.

so, new selling price = 2 × 109x/100 = 218x/100

new profit = new selling price - cost price

= 218x/100 - x = 118x/100

so, percentage gain = profit/cost price × 100.

= (118x/100)/x × 100

= 118

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