Question

If selling price is doubled, the profit triples. What is the profit percent?

Answer 1

Explanation:

Let the C.P be Rs.100 and S.P be Rs.x, Then 
The profit is (x-100)
Now the S.P is doubled, then the new S.P is 2x
New profit is (2x-100)
Now as per the given condition; 
=> 3(x-100) = 2x-100
By solving, we get 
x = 200
Then the Profit percent = (200-100)/100 = 100
Hence the profit percentage is 100%


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Answer 2

Let the cost price of the object = x

And selling price = y

Profit = (y-x)
__________________________

If selling price is doubled, the profit triples.

Final selling price = 2y

final profit = (2y-x)

According to question,

2y-x = 3(y-x)

=> 2y - x = 3y - 3x

=> 2y - 3y = -3x + x

=> -y = -2x

=> y = 2x
_____________________________

Thus actual selling price = 2x

profit = 2x - x = x

Profit % = profit/CP × 100

=> Profit % = x/x × 100 = 100%

Thus, profit is 100%.