Aptitude - Profit and Loss - Discussion

If cp is 100 rupee, sp will be 200rupee as told in the problem(i.e sp is doubled), then the profit % comes 100%. How we can say this profit % is triples to cp. Triples means 300% right?

Can anybody suggest me?

Cp=x and sp=y.

Profit =sp-cp,
Profit=3(y-x)________(1)[triple the profit]
Profit=2y-x__________(2)[selling price double]
Equate (1) &(2)
3(y-x)=2y-x,
3y-3x=2y-x,
3y-2y=-x+3x.
Y=2x [ selling price is 2x],
Profit =sp-cp,
=y-x,
=2x-x
=x.
Profit %= profit÷cp *100,
=x÷x *100,
=100%.

Profit will be 200%.

The question says if SP (y) is doubled, i.e. 2y the profit will be 3 times. Which means;

2y=3(y-x)
2y=3y-3x
Y=3x.

Now, profit will be S.P- C.P. which now will turn out to be 3x-x=2x.

Profit % will be 2x/X*100= 200%.

Can anyone here explain why my trick doesnt work?

Lets take C. P. = 100,
S. P. = 200,
Double the S. P = 400,
Now the Profit = 300.

I get 75% of the profit from 400 which is 300.

Let c.p = x,
s.p=2x,
p.f = 3x,
p.f=s.p-c.p.
3x=2x-x,
3x=x,
p.f = s.p-c.p/c.p*100,
=x/x*100,
=100.

How is it possible?

We know that profit% = (gainx100÷CP)......"i"
SP-CP=profit......."ii"
Also, 2SP-CP=3profit......."iii"

Therefore by subtracting "ii" from"iii"
We get SP=2profit.
Again we use SP-CP=profit.
Put value SP=2profit in it....."iiii"
We get CP=profit.
Now let CP be 100.
So profit/gain =100.

Using equation %profit=(gain*100÷CP).
We get profit% =100.

Lets say, c.p.= x and,
s.p.= y initially.
according to formula,
s.p. - c.p. = profit,

So, (y-x) = profit at initial. ....[1]
Now, s.p. is doubled, it becomes 2y
The profit is tripled, it becomes 3(y-x).
But c.p. remains same, it is x.
Again using formula,
s.p. - c.p. = profit.
2y - x = 3(y-x).
3x-x = 3y-2y
2x = y (s.p.)

The question have asked how much profit percent after condition applied
So, we have to consider initial c.p. (x) and final s.p. (2x) (from above solution)
Profit= s.p. - c. p.
= 2x - x
= x.

Profit % = (profit/c.p.)*100
=x/x *100
=100%.

Is it 100% of the original price or of the doubled price.

How about doing this question like this?

Let CP be Rs 100,
then by question SP =200,
then profit percent is;
(SP-CP)*100÷CP,
so ( 200-100)*100÷ 100,
=100.

So required answer is 100, hope I am right please suggest me if I am wrong.