Aptitude - Profit and Loss - Discussion

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

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]

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.

Its like
We take 2Rs as CP
Now we want a profit on sp so we take 2. 50Rs as SP
Now profit on that is 25%
Now according to question SP is double and will be profit Triple.
So now SP is 4 and profit will 25*3 75.

So 75+25=100% profit.

If profit is g,c.p is x,s.p. is y
then g=y-x
If s.p is double(2*y) and profit triples(3*g)
3g=2y-x
solve above two equation
we get x=2g and y=g
Gain%=(100*gain)/c.p
=(100*g)/g (y=g)
=100%

I think it's very simple.

Let cost price is = C
AND selling price = S
SO profit is (S-C)
IF SELLING PRICE IS 2*S THEN PROFIT IS (2S - C)
NOW,3(S-C)=(2S-C),3S-C=2S-C,S=2C
PROFIT=2C-C=C , % OF PROFIT =C/C X 100= 100 %

Assume c.p=100rs

then the s.p.=200rs(double price according to the question)

profit=300rs (triple profit of c.p.)

gain=s.p.-c.p.

gain=200-100

gain=100

now we put the value in formula..

gain%=gain/c.p.*100

=100/100*100

gain =100% it's very easy, i think now u have no doubt regarding this.....have a nice day.......

@Guneet your right dude good explanation.

Saleem is rite here.
assume s.p 10
c.p 5
s.p doubles 10+10 20
c.p triples 5+5 10+10 20.
100%

Hi, even if the selling price is doubled, we have to consider the cost price also to find the profit. What you mentioned was correct but not all the problems.

See if the sp is 100 and if it is doubled then sp =200, bot the cost price may be 50.. so the profit is 150 not 100.. so here the profit is 150%. so we have to consider the terms 'the profit triples.

Say sp = x
profit = y
then
x-cp=y(general eqn sp-cp=gain)
2x-cp=3y(condition given in the problem)

solving these two we get

y=cp

so the profit is 100%