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When a product is sold, the profit is 25% of the selling

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Director
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When a product is sold, the profit is 25% of the selling [#permalink] New post 26 Nov 2005, 06:41
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28. When a product is sold, the profit is 25% of the selling price. By what percentage should the price of the product increased so that the profit will be (33+(1/3))% of the new selling price?
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Last edited by gamjatang on 30 Nov 2005, 23:28, edited 1 time in total.
Director
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 [#permalink] New post 26 Nov 2005, 08:16
C= cost price
S = selling price
Profit = SP - CP

1st case

S - C = 25S/100
C = 3S/4

2nd case, Selling price = S+ X where X is the increase.

newS - C = 100/3 % of newS
(S+X) - C = (S+X)/3
C = 2(X+S)/3

In both case, C is the same.
3S/4 = 2(X+S)/3

X = S/8

% increase = X*100/S = 12.5%
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Re: PS - (AG) Increaed price [#permalink] New post 26 Nov 2005, 08:29
gamjatang wrote:
28. When a product is sold, the profit is 25% of the selling price. By what percentage should the price of the product increased so that the profit will be (33+(1/3))% of the new selling price?


I guess an easier way is to assume the SP as 100. So htat makes the cp=75

100+x-75=1/3(100+x)

x=12.5%
Re: PS - (AG) Increaed price   [#permalink] 26 Nov 2005, 08:29
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