Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - General Questions (Q.No. 3)
3.
If selling price is doubled, the profit triples. Find the profit percent.
66 2
3
100
105 1
3
120
Answer: Option
Explanation:

Let C.P. be Rs. x and S.P. be Rs. y.

Then, 3(y - x) = (2y - x)    y = 2x.

Profit = Rs. (y - x) = Rs. (2x - x) = Rs. x.

Profit % = x x 100 % = 100%
x

Video Explanation: https://youtu.be/dPzF10mGsWE

Discussion:
306 comments Page 26 of 31.

Mehul said:   1 decade ago
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

Betzy said:   1 decade ago
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.

Poonam said:   1 decade ago
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.

Ritesh Kumar said:   1 decade ago
Let c.p=x
s.p=2x
profit=s.p-c.p
=2x-x
=x
%profit=(x/x*100)
=100%

Siri said:   1 decade ago
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]

Saurabh said:   1 decade ago
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.

Arun said:   1 decade ago
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.

Hitesh said:   1 decade ago
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.

PINAKI CHATTERJEE said:   1 decade ago
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 %

Amit Hemrajani said:   1 decade ago
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.......


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