If sp is doubled the profit triples. find the profit percent
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Answered by
9
Let the initial profit = x
profit, x = SP - CP
______________
If sp is doubled the profit triples.
Profit = 2SP - CP = 3x
=> SP + SP - CP = 3x
=> SP + (SP - CP) = 3x
=> SP + x = 3x
=> SP = 2x
_________________
From the beginning, we saw that
x = SP - CP
=> x = 2x - CP
=> CP = 2x - x
=> CP = x
________________
So initial profit percent = Profit/CP × 100
=> profit % = x/x × 100 = 100%
profit, x = SP - CP
______________
If sp is doubled the profit triples.
Profit = 2SP - CP = 3x
=> SP + SP - CP = 3x
=> SP + (SP - CP) = 3x
=> SP + x = 3x
=> SP = 2x
_________________
From the beginning, we saw that
x = SP - CP
=> x = 2x - CP
=> CP = 2x - x
=> CP = x
________________
So initial profit percent = Profit/CP × 100
=> profit % = x/x × 100 = 100%
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1
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