SOLUTION: AN article is sold for Rs.45 for a LOSS OF 10 % . IF IT IS SOLD AT RS 65 , THE GAIN PERCENT IS ?

Question 995529: AN article is sold for Rs.45 for a LOSS OF 10 % . IF IT IS SOLD AT RS 65 , THE GAIN PERCENT IS ?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
algebraically you would solve this as follows:

x = original price.

x - .10 * x = 45

.90 * x = 45

x = 45 /.90

x = 50

your original price is 50.

if your original price is 50 and you sell it for 65, then the percent gain can be repsented algebraically as follows:

50 + x * 50 = 65

x * 50 = 65 - 50

x * 50 = 15

x = 15 / 50

x = .30 * 100 = 30%.

if you sell it for 45 at a loss of 10%, then the original price must have been 50.

if the original price is 50 and you sell it for 65, then your percent again would be 30%.

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