A person sold his watch for Rs 144. If the percentage of his profit was equal to the cost price, then the watch would have cost him?
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Answer:
Rs.80
Step-by-step explanation:
Given,
SP = Rs.144
let the CP and profit percentage be x
Profit on selling = SP - CP = 144 - x
Profit percentage = (Profit/CP) * 100
x = (144-x/x) * 100
x = 14400 - 100x/x
x^2 = 14400 - 100x
x^2 - 14400 + 100x = 0
x^2 + 180x - 80x - 14400 = 0
x(x+180) - 80(x + 180) = 0
(x-80)(x+180) = 0
the value cannot be negative so ans is Rs.80
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