Aptitude - Profit and Loss - Discussion

As u all know profit= selling_price - cost_price-----eqn1
Now from give data i found new eqn---2:
3*profit=2*selling_price - cost_price----eqn2
So from first n second i found cost_price=profit
As u know %profit= profit*100/cost_price----eqn3
So put the value of cost_price in eqn--3 it means that %profit=100
Hope it is easy to understand.

let C.P=2, S.P=4(since it is double then C.P), and profit=8(since it is tripple)

%profit=[(S.P-C.P)/C.P]*100
%profit=[(4-2)/2)]*100
%profit=100
[NOTE: profit is based on C.P]

Let c.p=x
s.p=2x
profit=s.p-c.p
=2x-x
=x
%profit=(x/x*100)
=100%

Its very simple see.

Assume cp=x, sp=y.

Old profit =y-x.

If sp is now doubled then new profit 2y-x.

Now acc to question when sp is doubled after that what profit we get is 3 times of the old one.

Means.

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

This is how you get this equation.

If new profit is 2y-x, how come 2y-x(profit)=3(y-x), which is 3 times profit. But how come PROFIT=PROFIT? It should be double the SP, triples profit. How come 2y-x=3(y-x) ? it will be 2y=3(y-x)? please help. I am not getting the logic.

Let the C.P. = X
then S.P. = 2X
So profit = 2X-X = X

And profit % = X/X*100
=100 :).

There is extra line of "profit triples", but it is of no use. :D

Let say C.P = X,
Then, S.P = Y, (Consider Y value is double the X, so can write as Y=2X).

As per the question profit = 3X,(you can just use this value for validation).

So the profit = S.P - C.P = Y-X.

Profit percentage = Y-X / X * 100.
= 2X-X / X * 100 = 100% .

(here the Y value has been substituted)

Now, you can validate the answer.

3X =100
So X = 100/3
= 33.3 ( X= C.P = 33.3 ).

Y(S.P) = 2X = 2 * 33.3
= 66.6 (double the C.P).

Profit = C.P - S.P.
Example : C.P = X.

If selling price is doubled So S.P = 2X.

= X-2X = X.
C.P = X, S.P = X.

Profit Percentage = gain x 100 / C.P.

= X x 100 / X = 100%.

Hey guys. We can also do like that.

Let the S.P = 100.

Then according to the question.

PROFIT = SP - CP that is,

300 = 200 - x.

x = 100.

Simple one.

Let C.P = 100.

Than S.P = 2X100 = 200.

and,

Profit = (SP-CP) = 200-100.

Profit = 100.

Now Profit% = 100X100/100 = 100% Ans, Option (B).