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An article was soldfor 144. If the % of profit was numerically equal to its cost price, then find its cost pri?
2 Answers
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- paramvenuLv 710 years agoFavorite Answer
Let the cost price = x
Rate of profit = x%
Selling price = Cost price*(100+Rate of profit) / 100
144 = x*(100+x) / 100
14400 = 100x+x^2
x^2+100x-14400 = 0
On factorisation
(x+180)(x-80) = 0
Therefore x = - 180 OR + 80
Since the cost price cannot be negative
It can be taken = 80
- charlatanLv 710 years ago
(144-c)/100*c=c
(144-c)*c=c*100
144c-c^2=100c
44c=c^2
44=c
test
144-100=44
100*44/100=44=c
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