Aptitude - Profit and Loss - Discussion

3. 

If selling price is doubled, the profit triples. Find the profit percent.

[A].
66 2
3
[B]. 100
[C].
105 1
3
[D]. 120

Answer: Option B

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


Ezhilarasi.M said: (Jul 16, 2010)  
I don't understand explanation. So, please tell me detailed explanation.

Sangeetha K. said: (Aug 4, 2010)  
Hai Ezhil,
profit = S.P -C.P
S.P = 2Y
C.P = X
PROFIT = 3(Y-X)= (2Y-X)
= 3Y-3X-2Y+X
= 1Y-2X
(i.e)Y=2X : Profit = (Y-X)(i.e) =(2x-x)=Rs.x
Profit% = C.P/profitX100= X/X*100=100%

Swathi said: (Aug 11, 2010)  
Why did you equaled 3 (y-x) = (2y-x). Please explain it detaily.

Giriganesh said: (Aug 18, 2010)  
In that question.,

Profit is three time increase

3X profit =3 X( s.p - c.p )
=3 X (Y -X)
=3(Y-X)=(S.P - C.P) [.: Because Profit = S.P - C.P]
=(2 x Y )-X [.: S.P is increase two times]
=2Y-X

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

Chetan said: (Sep 11, 2010)  
I think there is something wrong in answers or may be I don't understand but,.

When you are asked to calculate profit percentage you are doing "(y-x) /x *100".

Is it wright?.

I think we have to do "(2y-x) /x*100".

Prakash said: (Oct 9, 2010)  
@Swathi

Both are profits s.p is y and c.p is x then profit is y-x. And if profit tripls then 3(Y-X) is profit and new selling price is 2y then profit is 2y-x.

Sridhar said: (Nov 14, 2010)  
Chetan answer is right, check answer of Sangeetha

Sandhya said: (Nov 29, 2010)  
Please give me clear answer, I don't understand how (2y-x)come ?

Saleem said: (Dec 12, 2010)  
Assume s.p=20, profit=10

Then, s.p double=20+20=40
Profit triple=10+10=20+20=40

So 100%.

Rajeshkavi said: (Dec 14, 2010)  
Hi, I dont able to understand this question 1.If selling price is doubled, the profit triples. Find the profit percent.but you gave solution like this


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
please explain clearly

Raj said: (Dec 22, 2010)  
Let c.p=x
s.p=2x

Profit = s.p - c.p
Profit = 2x - x = x
Profit % = x*100/x = 100%

Vinod said: (Jan 18, 2011)  
= S.P - C.P = PROFIT/100%

= 2X- 3X =1X/100%

= X = 1/100
=100%.

Divyesh said: (Jan 22, 2011)  
Let s.p. = y and c.p. = x
now current profit is (y-x)
and the profit when the s.p. is doubled is (2y-x)
now according to the equation
(2y-x)/3 = (y-x) bcaz new profit is thrice a current profit
solving equation we get y=2x
when s.p. is doubled as c.p.
so profit = (y-x)/x * 100 = (2x-x)/x * 100 = 100%

Dinesh said: (Feb 7, 2011)  
If we assume current SP to be Rs.100/- and then profit as x. Then,
SP Profit
100 x
200 3x

Therefore, 300x+200x=600x
Therefore, x=100. I guess this is an easier approach.

Balaji said: (Feb 8, 2011)  
First of all, in the problem they had given that if selling price doubles, profit will be tribled.

Actually we have the formulae that
profit = selling price - cost price

Let the selling price be y and cost price be x

From formulae above profit= s.p.-c.p.

Profit= y-x___________(1)

From the data given, if selling price doubles, profit will be tribled. so that

From(1), we can write

profit=y-x, here from the data given if y doubles profit will be tribled. so we can write in place of profit we can write y-x

3(y-x) = 2y-x
y=2x
profit from (1)
profit=2x-x
= x

Then we have to calcute profit percentage, so we have formulae for profit percentage
Profit%= (profit/cost price)*100
= (x/x)*100

Profit% =100%.

Rajendra said: (Feb 9, 2011)  
Let SP= 10 Rs.

If it is doubled den SP =20rs,

So profit will be 10 Rs nothing but 100% profit.

Satish said: (Feb 12, 2011)  
profit per= ((s.p-c.p)/c.p)*100
c.p=x
s.p=2x
profit per = ((2x-x)/x)*100
=100
simple

Dania said: (Feb 25, 2011)  
3(y - x) = (2y - x) In this eqn how you subtract x from 2y?

I can not undestand pls explain.

Aakash Kathunia said: (Feb 28, 2011)  
I am also not able to understand how you substract x from 2y.. please explain... plz

Prasad said: (Mar 1, 2011)  
Balaji explained well thank you very much.

Kiran said: (Mar 7, 2011)  
Still I m unable to understand this problem please help me out.

M.V.Krishna said: (Mar 14, 2011)  
3(y - x)=(2y - x)
This step is not clear for me.

Alternate method:

S.P = C.P + PROFIT.............(1)
2*S.P = C.P + 3*PROFIT...........(2)

eq(2) - eq(1)

S.P = 2* PROFIT

SUBST S.P IN (1), WE GET

2* PROFIT = C.P + PROFIT

therefore, PROFIT = C.P

PROFIT % = (PROFIT / C.P) * 100

FINALLY, PROFIT % = 100%

Karthic.V said: (Mar 17, 2011)  
Help. Please give me an another way to solve the problem.

Suraj Sahoo said: (Mar 27, 2011)  
LET C.P= 10
S.P= 20
SO, PROFIT= (20-10)I.E (SP-CP)

ACC TO THE QUES,

IF S.P DOUBLES I.E 2(20) THEN

PROFIT TRIPLES I.E 3(20-10).

SO, PROFIT PERCNT= (PROFIT/CP)*100

= {3(20-10)/10}*100
= 300%.

Ashish said: (May 13, 2011)  
Profit = s.p - c.p ---(1)
3(profit)=2s.p - c.p ---(2)
-----------------------
solving equ 1 nd 2... we get

s.p = 2(profit) ---- (3)

substitute equ (3) in equ (1)... we get
c.p = profit ---- (4)

using (3) nd (4) if c.p=1 then s.p=2 and profit=1
hence, profit% = (profit/c.p)*100 = 100%

Srinivas said: (Jun 17, 2011)  
@Balaji well done.

Atul said: (Jun 17, 2011)  
Cost price x , selling price y, profit (y-x).

If selling price is doubled =2y , then new profit will be (2y-x)
which 3 times the original profit i.e. (y-x)
there fore new profit (2y-x)= 3x old profit (x-y)
That is (2y-x)=3(x-y).

Vamsi said: (Jul 6, 2011)  
gain=s.p-c.p.
let the c.p be 'x' and s.p be 'y'.
profit is=(y-x)
condntn is if s.p is doubled then only profit will be tripled.

3*profit=(s.p-c.p)
3(y-x)=(2y-x)
y=2x;

Guneet said: (Jul 9, 2011)  
I am explaining the question in accordance with CP=x and SP=y.

The real confusion in this question is that in the statement they have said "selling price is doubled", which means the equation should be 2y = 3(y-x).

But this is wrong, because on left side we are taking only NEW SP but the right side the equation is in terms of Profit.
Remember they have given the relation if SP and Profit in proportionality and NOT EQUAL.

But, we have to make an equation in terms of profit on both sides. So, to get the new Profit, the SP is doubled and the original CP is subtracted from the same i.e. 2y and then subtract the CP from it which gives the equation as : (2y-x) .

I hope the rest is clear to all .. the same is very well explained by @atul

Thank you.

Poonam said: (Jul 10, 2011)  
Can you explain me if selling price is doubled then how profit is thrice the cost price.

As we all know that
selling price=cost price+ profit. I am little bit confused.

Savitha said: (Jul 17, 2011)  
Guneet thanks I got it clearly !

Pratyusha said: (Aug 5, 2011)  
How can you write profit=3(y-x)=2y-x ? Please can any one tell me.

Swetha said: (Sep 2, 2011)  
@Pratyusha

Refer balaji's explaination..very clear. No body can explain more than him.

Well done balaji!

Narayanan said: (Sep 6, 2011)  
Ya..balaji's explanation is clear Profit= y-x___________(1)

From the data given, if selling price doubles, profit will be tribled. So that

From(1), we can write

Profit = y-x, here from the data given if y doubles profit will be tribled. so we can write in place of profit we can write y-x

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

Tushar Vaibhav said: (Sep 8, 2011)  
PROFIT = 3(Y-X)= (2Y-X)
= 3Y-3X-2Y+X
= 1Y-2X
(i.e)Y=2X : Profit = (Y-X)(i.e) =(2x-x)=Rs.x
Profit% = C.P/profitX100= X/X*100=100%.
FROM HERE EXPLAIN CLEARLY.

Sindhu said: (Sep 17, 2011)  
See balaji explaination. Its very clear.

Hamzah Bhatti said: (Sep 18, 2011)  
Let Cost Price Be X AND Selling Price be Y And Profit for this is Z, THEN BY given Condition
((y-x)/x)*100=Z -------------- (1)

Similarly By Given Condition
((2y-x)/x)*100 =3Z Or Z = ((2Y-X)/3X)*100 -------- (2)

Both eqn 1 and 2 are equal equating these two eqn gives
3(y-x) =2y-x
y=2x

Put this value in eqn 1 and get z = 100.

Ramkumar said: (Sep 21, 2011)  
Thanks Satish. Its really simple.

Shree said: (Oct 13, 2011)  
Raj answer is so simple:).

Ravi said: (Oct 30, 2011)  
Thanks @balaji

Samy said: (Nov 19, 2011)  
Balaji answer is nice thanks to you.

Ravi Teja said: (Nov 24, 2011)  
Consider C.p=x, S.P=2x, Profit=3x
gain=S.p-C.P=2x-x=x
so gain=x,
profit=(gain/C.P*100)=(x/x*100)
profit=100%....

simple man....

Harish Raj said: (Nov 30, 2011)  
I don't think there should be necessary for explanation for this sum. It is just the common sense we need to apply. Coming to the Question.

If selling price is doubled, the profit triples. Find the profit percent.

I think we can answer this question without considering the 3 times of profit. I mean to read the question like this -- (If selling price is doubled, Find the profit percent.)

It is obviously 100%, right?

Kousik said: (Dec 1, 2011)  
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%

Prakash said: (Dec 20, 2011)  
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%

Shetkar Venkat said: (Jan 2, 2012)  
@Guneet your right dude good explanation.

Amit Hemrajani said: (Jan 16, 2012)  
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.......

Pinaki Chatterjee said: (Feb 20, 2012)  
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 %

Hitesh said: (Mar 24, 2012)  
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.

Arun said: (Apr 19, 2012)  
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.

Saurabh said: (May 6, 2012)  
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.

Siri said: (Aug 19, 2012)  
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]

Ritesh Kumar said: (Sep 8, 2012)  
Let c.p=x
s.p=2x
profit=s.p-c.p
=2x-x
=x
%profit=(x/x*100)
=100%

Poonam said: (Sep 8, 2012)  
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.

Betzy said: (Nov 29, 2012)  
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.

Mehul said: (Jan 13, 2013)  
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

K.S.Tamil said: (Feb 13, 2013)  
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).

Chandan Muduli said: (Apr 7, 2013)  
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%.

Krishna said: (Jun 14, 2013)  
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.

Vinod Anand said: (Jun 15, 2013)  
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).

Arjun said: (Jul 9, 2013)  
If selling price is doubled, the profit triples. Find the profit percent.
Solve:

Here Take it as Ratio method.

Consider to 3:2.

Her Profit = 3.
Selling Price = 2.

3-2 = 1.
1 * 100 = 100.

Harsimran Singh said: (Jul 14, 2013)  
3(y - x) = (2y - x) y = 2x.

Up to this equation, it is fine.

But next when we calculate profit. we are using profit = y-x.

Here we take the older value of our selling price that is y.

But why don't we take the new value of our selling price that is 2y.

Like suppose originally our cp = 100, sp = 200, profit = 100.

Now cp = 100, sp = 400, profit = 300.

( that is sp double, profit triple)

So now, profit % is (sp-cp)/cp*100.

=(400-100)/100*100.

=300%.

Is it now correct or ans is 100%.

Damodar Narayan said: (Aug 1, 2013)  
PROFIT (P) = Selling Price(S) - Cost Price(C).

Simply P = S-C -------->(1).

As per the question.

3P = 2S-C.

3(S -C ) = 2S- C -------> from EQ 1.

S = 2C --------> by Simplifying.

Now P%= ((S-C)/C ) *100.

= ((2C-C)/C)*100 = 100.

Dil said: (Aug 2, 2013)  
Friends,

We know p(profit)= s.p - c.p,

let s.p = y, c.p = x, hence p = y - x (profit = s.p - c.p)--------> (1)

Now according to question when sp gets doubled ie (2y) profit triples so, the formula p = s.p - c.p now becomes 3*p = 2*y - x.

Next step is substituting p = y - x in above equation we get,

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

Now substitute the value of y in eqn (1),

p = y-x.
p = 2x-x.
p = x.

Now Profit%=(profit/cp)*100.

i.e. Profit% =(x/x) * 100.

Profit% = 1*100.

or 100%.

Shridhar said: (Aug 9, 2013)  
We know that SP/CP=(100+G%)/100.

So as per given question.

SP1/SP2=(100+G1%)/(100+G2%).

==> SP/2SP=(100+G)/(100+3G).

==>1/2=(100+G)/(100+3G).

==>G=100.
So
Profit=100%.

Murali said: (Sep 16, 2013)  
Let the C.P be x and S.P be y.

Profit = S.P-C.P = y-x given question if the S.P doubles then profit will triples therefore,

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

y = 2x.

Profit = x.

Profit% = x*100/x = 100.

Profit is 100 percent.

Prathap said: (Oct 4, 2013)  
Formula's used:

1) Profit = SP-CP.

2) Profit % = Profit/CP *100.

Anshika said: (Oct 20, 2013)  
Don't take x, y. Simply assume let COST PRICE = C.P,SELLING PRICE = S.P.

STEP-1:

According to question profit tripled,
i.e 3*PROFIT, and we can write profit = S.P - C.P.
So it becomes, 3*(S.P-C.P) --- equation 1.

STEP-2:

Also its given S.P is doubled i.e 2*S.P.
According to us profit should be,
Profit = S.P - C.P (Formula)
= 2*S.P - C.P ---- equation 2.

STEP-3:

Compare both equations because both shows profit,
3*(S.P-C.P) = 2*S.P-C.P.
3S.P-3C.P = 2S.P-C.P.

Now taking S.P one side and C.P another,
3S.P-2S.P = 3C.P-C.P.
S.P = 2C.P.

STEP-4:

Profit = S.P - C.P (formula).
= 2C.P - C.P.
Profit = C.P.

Using above in formula now,

Profit% = profit/cp*100.
= C.P/C.P*100.
= 100%.

Vikram said: (Nov 13, 2013)  
When selling price doubled even cost price is also doubled than how this comes SP = 2y-x ?

Venkatesh said: (Nov 22, 2013)  
CP = x,
SP = 2x,

Profit = SP - CP.
= 2x-x.

Profit = x.

Profit(gain)% = (profit/CP)*100.

= (x/x)*100.

=100%.

Saba Karim said: (Dec 11, 2013)  
@Ezhilarasi.M.

Its is a simple question so it's answer should also be simple.

Explanation: Let CP= 100, Profit= x.
So, SP= 100+x.

Now SP= 2 (100+x) then profit=3x.

=> 200+2x-100= profit (since- SP- CP = profit).
=> 2x+100= Profit.

=> 2x+100= 3x (since profit=3x now).
=> x=100 is the answer.

Ganesamoorthy said: (Dec 20, 2013)  
Lets have C.P =100 ; S.P =200 ; Profit = 300 (since from question).

Profit =200 -100 = 100.

Profit % = 100 * 100/100.
= 100.

Ahmed Saquib said: (Feb 19, 2014)  
INITIALLY,

C.P. = y.
S.P. = x.

Profit =x-y.

AFTER DOUBLING THE PRICE,

C.P. = y.
S.P. = 2x.
Profit = 2y - x.

According to the condition profit becomes three times of initial value. So,

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

Hari Prasanth said: (Feb 25, 2014)  
You must read to know easy.
Here we note two points.

1. If we buy the things in " x " and selling in " y " the profit " p = y - x " .............(1).

2. If we buy the things in " x " and selling in " 2y " the profit triples (3p), So,

Profit = S.P - C.P.
3p = 2y - x ..............(2).

(1) implies (2),

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

Mohamed Hussain said: (Feb 26, 2014)  
C.P = 100.
S.P = 200(i.e S.P doubled).

Profit = S.P - C.P.
=>200-100 = 100.

Profit % = (profit*100)/C.P.
= (100*100)/100.
= 100.

Chandrasekaran said: (Mar 14, 2014)  
Don't you people feel that the ques is not clear. If they are asking for the profit% shouldn't we find out the new profit%?

Assume S.P as 10.
Profit as 5,

(3 times of profit)/(2SP -3profit) *100 = 15/(20-15)*100.
= 30%.

Md. Ashraf.Bangladesh said: (Jun 15, 2014)  
Let, profit = x.
C.P = 100.

Selling Price = 100+x.
We know that:(S.P-C.P) = Profit.

According to Q,

2(100+x)-100= 3*x.
200+2x-100 = 3x.
3x-2x = 200-100.
x = 100.

Profit= 100%.

Mayank said: (Jul 7, 2014)  
Let 1st S.P = 100, profit - 1x, and 2nd S.P = 200,
If profit is tripled then it is 3x.

Therefore 3x-1x= 2x,
x = 200/2.
x = 100.

Ratna Paul said: (Jul 25, 2014)  
Really I am confusing about this question. Because Q)If selling price is doubled, the profit triples. Find the profit percent.

SP double means we always determined SP on CP. So obviously CP = x and SP = 2x.
And profit always depend upon diff btw SP and CP. So Profit = x.

But according to question profit = 3X.

Then profit% = (profit/CP)*100.

If profit = X then P%= 100%.

But as per question p=3X so profit = (3x/x)*100 = 300%.

How is it possible. Please clarify my doubt?

Raja said: (Jul 28, 2014)  
No need that much solution.

Let CP = 1 Rs.
Then SP = 2 rs (because double).

Leave profit is triple. no need to take,
That's why profit % is 100% (because double).

Sunil Kumar Rai said: (Aug 7, 2014)  
We know that SP = CP + profit........1.
Now given 2 SP = CP + 3 profit........2.

ON solving these equation we get that,
S.P = 2 profit.

Now in equation SP-CP/CP*100.
Answer is 100%.

Ravi Sharma said: (Aug 13, 2014)  
SP = x;
CP = y;
p = (x-y) * 100 / y;
SP' = 2x;
P' = 3*P;

=> (2x-y) * 100 / y = 3 * (x-y) * 100 / y;
=> x = 2 * y;
=> SP = 2 * CP;
=> P = 100%;
=> Profit Percent = 100%.

Rahul Mishra said: (Aug 20, 2014)  
Give me inform what is the process in this question?

Sambit Vikrant said: (Aug 26, 2014)  
Assume C.P = x.
//Then selling price is double.

Means S.P = 2x.
Profit = (S.P - C.P).
So profit = 2x-x = x.

%Profit = prifit*100/C.P.
= x*100/x.
= 100.

Karu said: (Aug 27, 2014)  
SP = x;
CP = y;
p = (x-y)*100/y;

SP' = 2x;
P' = 3*P;

=> (2x-y)*100/y = 3*(x-y)*100/y;

=> x = 2*y;
=> SP = 2*CP;

=> P = 100%;
=> Profit Percent = 100%.

Pooja said: (Sep 20, 2014)  
Let CP = x;
SP = 2x;

Profit = SP-CP;
Profit = 2x-x;
Profit = x;

Gain% = (gain*100/cp);
Gain% = (x*100/X);
Gain% = 100;

Gaurav said: (Oct 4, 2014)  
@Pooja but just for clarification.

If you calculate the profit it will not be tripled !

They should add one more option as 300%

If you buy a pencil for 5 rs sell it for 10rs you have a profit of 5rs that's 100% profit !

CP = 5rs.
SP(doubled) = 20rs.
Profit = 20-5 = 15rs.
Profit is thrice the profit it was before 5x3.

Then profit becomes 300%

Sunil said: (Oct 21, 2014)  
Let cost price = Rs 1.

Selling price doubled i.e = Rs 2.

Profit triples i.e = Rs 3.

Gain = SP-CP.

= 2-1.

= rs 1/-.

Profit% = gain*100/CP.

= 1*100/1 = 100.

*You take any number it will be true. !

Rajan said: (Nov 3, 2014)  
Please any one explain me in detail each and every step.

Shubham said: (Dec 21, 2014)  
What is the use of saying "Profit triples", it makes question very confusing. If S.P doubles then how can be profit triples?

Shiti said: (Jan 10, 2015)  
Take an example we will take LCM of 2 and 3 as it is double and triple so 6 would be selling price profit is tripled so initial profit is 2 and as selling price is doubled initial SP is 3. So CP is 1 I think the profit percentage i.e P/cp x 100 = 2/1 x 100 = 200%.

Shyam said: (Jan 30, 2015)  
Say CP = 10.

SP = 20 profit will be 10 only.

Then after changing SP twice. It will be 40 right?

So SP*2 = 40.

Now profit = 40-10 = 30. Which is thrice as previous profit?

Then profit % is more 300% is it?

So, I think question need to more descriptive right?

Ravi said: (Feb 10, 2015)  
C.P = x.
S.P = 2x.
P = 3x.

We know Profit = S.P-C.P.

So Here Profit = 2x-x = x.

We also know Profit% = P/C.Px100.

X/Xx100 = 100%.

Ddv said: (Feb 12, 2015)  
Ok look the most basic and fastest way to think.

Take C.P as 100 and sell price as 100+x; where profit is x;

Now 3x = 2*(100+x)-100(C.P);

3x = 100+x;

x = 100;

So on 100 C.P profit 100; so profit is 100%.

Divya said: (Feb 24, 2015)  
CP = x, SP = 2x.

Profit = SP-CP = 2x-x = x.

%profit = (profit/CP)*100.

= x/x*100.

= 100.

Kehkashaa Dubey said: (Mar 15, 2015)  
I am confused. How would I do it without using x and y?

Could somebody provide me with a logic? When I did it logically it came our to be 200%.

Deblina Dutta said: (Apr 25, 2015)  
Let, CP: 'X' and SP: 'Y' and profit : 'P'.

Then, P= (Y-X) / X ----------- (1).

Now, new SP= '2Y' and new profit : '3P'.

Then, 3P= (2Y-X) / X -------------- (2).

Put the value of 'P' from equation number (1).

So, (2Y-X) / X = (3Y-3X) / X.

Or, 2XY-X^2 = 3XY-3X^2.

Or, Y = 2X.

Put the value of 'Y' in eqn no. (1).

So, (2X-X) / X = P = 1*100 =100.

(ie) 100%.

Mrigansh Mathur said: (May 28, 2015)  
Its just this that you can compare only similar things. Like profit with profit.

So, in this case when profit is thrice so SP is doubled.

So when it is equated.

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

In this profit as we know is (y-x) which is thrice.

So when we equate this we equate it with the profit at this time when it is thrice ok.

So the profit at this time would be SP-CP but here SP is twice at q so that is why 2y-x is there.

Akhila said: (May 29, 2015)  
As given in the problem. SP-CP = Profit right.

Consider that SP-CP = (y-x).

Now SP should be double that is 2y-x.

And CP should be triple that is 3(y-x).

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

By solving this will get the profit.

Sara said: (Jun 8, 2015)  
Hai friends.

Profit means selling price > cost price.

Profit% = (profit/cost price)*100.

Selling price doubles. So we take 2S>1.

So actual cost price is single. So S>2.

Now from profit % formula = ((2S/S)/100)% = 100%.

Vinay said: (Jun 13, 2015)  
Let C.P. --> x then.

S.P. --> 2x.

Profit = S.P.-C.P. = 2x-x = x.

Profit% = Profit\C.P.*100 = 100%.

Sonu Nayak said: (Jun 24, 2015)  
C.P-S.P profit x y(y-x).

x 2y(2y-x) according to question. The profit 3 times increased if S.P became doubled this means profit has increase from earlier (profit) three times.

This implies 3 times of of old profit must be equal to new profit.

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

By solve y = 2x.

And profit is y-x/x*100 = 2x-x/x*100 = 100%.

Awdhesh said: (Jun 29, 2015)  
s-c=p....1.

Now 2s-c = 3p....2.

Solve this.

s = 2p....3.

So c=p.....4.

Now as asked that when sp is 2 times then calculate pf percentage.

So (2s-c/c)*100 = pf percent.

So put value in terms of p.

2s = 4p.....from....3.

So (4p-p)/p)*100 = pf percentage.

So pf percentage 300.

Sapah said: (Aug 7, 2015)  
Let 100rs be the sales cost (cp + profit).

By selling it for 200rs profit triples (cp + 3*profit).

200-100 = 2*profit.

Profit = 50.

Therefore cp = 50.

Profit % = (sales-cp)/cp% = 1000.

Sumanth Geras said: (Aug 13, 2015)  
If you do not understand any method or formulas, solution it helps you.

Let initially there are 20 articles with 5 each ones price.

20*5=100.

Increase double S. P of each article.

20*10=200.

Profit % = (200-100/100) *100 = 100%.

Mansi said: (Aug 14, 2015)  
Why here 2y-x is done? As we are only doubling selling price which is y.

Manish Raj said: (Aug 21, 2015)  
Suppose the cost is 10 and the selling price is 15 then the profit is 5 after all the selling price being double means 30 the profit being triple means 5+5+5=15. So our selling price is 15 or our profit is also 15 then the profit is 100 percent.

Sudha said: (Aug 24, 2015)  
Here we suppose.

CP = x.

Then SP = 2x (According to the Question. ).

Then Profit = SP - CP.

Profit = 2x-x.
Profit = x.

And Profit% = x*100/x.
Profit% = 100% Answer.

Roshan said: (Sep 17, 2015)  
Its very simple.

C.P = x.

S.P = 2y.

Profit =3x.

3x.

(2y-x).

But 2y = S.P = C.P + Profit = x + 3x.

Now + we will solve + 3x.

------- * 100.

x+3x-x.

Left hand portion will cut all and remain 100.

Ya its hard but not that much only use + logic + hope + so you will get this.

Mayank Sharma said: (Sep 19, 2015)  
Very simple and easy approach.

Let SP =10.

And profit be X. So CP = 10-X equation 1.

Now SP doubles means it became 20. And profit triples means it become 3X.

So now CP = 20-3X equation 2.

Now equate equation 1 and 2.

10-X = 20-3X.

X = 5 means it is profit.

Now with X we can calculation CP by any one equation.

Then profit percent = P*100/CP.

5/5*100 = 100%.

It is the easiest way to solve.

Lizzy said: (Sep 25, 2015)  
You should calculate % profit after the price is doubled and the profit tripled.

Ranji said: (Oct 4, 2015)  
They have said that if SP is doubled Profit becomes 3 times.

Let CP = X, & SP = Y.

As per the condition 2Y = 3(Y-X) ----------- (1).

Therefore, SP-CP = Profit.

2Y-CP = 3(Y-X).

CP = 3X-Y.

Put this in formula.

[2Y-3(Y-X)/3X-Y]*100.

3X-Y.
----- *100.
3X-Y.

= 100%.

Sony said: (Oct 7, 2015)  
Let cost price = x and selling price = y.

Then, in question they saying that the selling price is double a and profit triple that means.

First condition here our selling price is y then according to question will be 2y.

Second condition and again they are saying that our profit is triple and our profit is x-y i.e. cp-sp = profit.

Then according to question here our profit = 3(y-x).

Then according to first condition we will get:

Profit = (2y-x) ----- (1).

And according to second condition will get:

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

By using equation (1) and equation (2) we will get:

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

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

After solving this equation we will get 100% profit.

Thanks friends and good luck. And according to second condition we will get.

Sheshu Royal said: (Oct 8, 2015)  
In this problem clearly mentioned the selling price is doubled & profit is tripled.

Let C.P = 1 than S.P = 2.

Profit = (S.P)-(C.P).

=2-1 = 1.

Profit% = 1*100 = 100%.

Diki said: (Nov 4, 2015)  
How to put in fraction?

Mohan Reddy said: (Nov 16, 2015)  
Some people are confused by this question because they are confused to calculate profit after doubling selling price or before doubling selling price. Many people had given about general logic. Now it tell in short cut manner by taking value.

Consider C.P = 100, S.P = 200 then double S.P = 400.

Earlier profit is 100 and after doubling we get 300 which is tripled of profit earlier.

Now they asked us to find profit % question is not clear about finding profit but options makes it clear about finding the answer i.e. if you see earlier profit % it is 100% but after doubling selling price it is 300%.

So by seeing options we can say that 100% is the correct answer since 300% is not given. This type of questions will be cleared by options.

Deaniss said: (Nov 17, 2015)  
C.P = 100.

S.P = 200.

P = S.P-C.P.

= 200-100.

P = 100.

P% = P/C.P.*100%.

= 100/100*100% = 100%.

Ram said: (Nov 24, 2015)  
If selling price doubled we can use only 2y?

Why all are used 2y-x?

Dhanlaxmi said: (Dec 4, 2015)  
Here 2y-x means profit i.e.: S.P - C.P.

Sekar said: (Dec 12, 2015)  
2 S.P = 3 Profit.

2 S.P = 3 S.P - 3 C.P.

S.P = 3 C.P.

Assume C.P Rs. 1.

Profit = 2*100/1.

i.e 200.

Please tel me where I went wrong.

Priyanshe said: (Dec 18, 2015)  
Suppose C.P is 100.

And in the question given S.P is doubled means S.P is 200.

And Profit is triples i.e. 300.

So, the formula is %profit = S.P-C.P/C.P*100.

= 200-100/100*100 = 100.

Ketema said: (Dec 23, 2015)  
@Pooja.

Thanks. this simple why other persons going round? If profit is tripled & S.P is doubled then what is the gain percentage?

As @Pooja explain,

G% = 100 (S.P-C.P)/C.P.

W\c is 100 (2x-x)/x.

Since S.P or y = 2x and C.P = x. So G% = 100%.

Karthik said: (Dec 27, 2015)  
Let cp = x, sp = y.

We know profit = profit.

y-x = y-x.

If sp is doubled then according to the condition profit gets tripled.

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

y = 2x.

Then gain = 100*y-x/x = (2x-x)*100/x = 100%.

Naseem Saifi said: (Jan 11, 2016)  
Given that,

S.P = 2*C.P______ (1).

Profit = 3*C.P___ (2).

We know that profit = S.P-C.P [Formula 4 profit].

=> profit = 2*C.P-C.P = C.P___ (3) [From 1st S.P = 2*C.P].

Profit% = Profit/C.P*100 [Formula 4 profit%].

= C.P/C.P*100 = 100.

Manoj said: (Jan 25, 2016)  
C.P. = 100, S.P. = 200.

Profit = S.P. - C.P.

= 200 - 100 = 100.

Profit% = 100*100/100 = 100%.

Ramya.K said: (Feb 6, 2016)  
Let profit be 'p', S.P be 'y' and C.P be 'x'.

Now we know that profit = S.P-C.P.

i.e, p = y-x ----- (1) (say);

Now according to problem 3p = 2y-x--- (2) (say).

Now substitute (1) in (2).

Then, 3(y-x) = 2y-x;

3y-3x = 2y-x;

3y-2y = 3x-x;

y = 2x---- (3) (say);

Now put (3) in (1);

Then p = 2x-x;

Now p% = ((2x-x)/x)*100;

P% = (x/x)*100;

P% = 100;

Ayinoluwa Oladayiye said: (Feb 12, 2016)  
I don't understand why or how the answer is 100 because there is 3x and 2y. Can you explain it fluently?

Sunny Sharma said: (Feb 13, 2016)  
Look,

Take SP = 1, then new SP = 2.

So, old profit, p = (1-CP)/CP ---> equation 1.

And new profit, 3p = (2-CP)/CP ---> equation 2.

Divide equation 1 by equation 2 and solve for CP = 1/2, thus profit = 100%.

Suganya Dinesh said: (Feb 15, 2016)  
Don't confuse with X & Y.

Simple method is:

SP is doubled so 200. Profit is triples so 300. Hence CP is surely be 100.

Then work out formula:

Gain = SP - CP ; 200 - 100 = 100%.

Niharul Islam said: (Feb 18, 2016)  
We know, Profit (P) = Selling Price (y) - Costing Price (x)....(1).

Given, 3p = 2y - x.

=> p = (2y-X)/3.....(2).

From equation 1 &2 we get,

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

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

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

=> y = 2x.

We know Profit Equation,

Profit = (y-x)/x.

= (2x - x)/x.

= x/x.

= 1*100% = 100%.

This is the 100% answer of this math.

Minakshi said: (Feb 20, 2016)  
This question was asked in AFCAT 2/2015 and I answered 100% but when their answer sheet came out their answer was (199/3)%. I just don't get it.

Mallikarjun said: (Feb 27, 2016)  
Why did we taken 3(y-x) = (2y-x)? Please explain it.

Finny said: (Mar 9, 2016)  
Someone to clarify please?

Govind Kumar Karn said: (Apr 9, 2016)  
Let C.P.= x, S.P = y.
Then according to the question 3(y - x) = (2y - x).
So y = 2x.
We know that, profit= (S.P - C.P).
=> (y - x) = (2x - x).
=> (x*100)/100 = 100% answered.

524@Ssh said: (Apr 13, 2016)  
Let cp = x., then sp = 2x.

The profit is (sp - cp)/cp * 100.
(2x - x)/x * 100.
x/x * 100 = 100.

Therefore profit =100.

Kumar Ghimire said: (Apr 23, 2016)  
Thanks @Niharul Islam.

Shekhar Adhikari said: (Apr 26, 2016)  
Let CP =x and SP = y.

According to the question 3(y - x) = 2y - x.
Here in question this equation 'is given as condition only.S.P is already fixed.
This condition connects between SP and Cp from this condition we get the relation betweenSP and Cp as y = 2x .

Then we should take profit => y - x = 2x - x = x.
Thus profit % = x/x *100 = 100%.

Rajiya said: (May 12, 2016)  
P = S.P - C.P.

Profit triples and S.P doubles.

3P = 2S.P - C.P.

3(S.P - C.P) = 2S.P - C.P.

So, S.P = 2C.P.

S.P/C.P = 2/1.

P = 1 / 1*100.

Then, 100%.

Laks said: (May 26, 2016)  
@Rajiya.

Good Explanation. Thank you.

Raju said: (May 30, 2016)  
I can't understand the problem. Please help me.

Well Wisher said: (Jun 8, 2016)  
When I read all the comments, I understood one thing.

Everyone reads the question in a different way.

Django Boy said: (Jun 9, 2016)  
For all who don't understand.

Let,

A = Cost price.

B = Selling price.

C = b - a = Profit.

When selling price is doubled;

Cost price = a.

Selling price = 2b.

Profit = 2b-a --------> (1).

Given that when selling price is doubled, the profit triples;

Ie profit = (b - a) x 3 = 3b - 3a --------> (2).

Equation (1) and (2) are equal, on equating;

3b - 3a = 2b - a ie b = 2a.

B = 2a means the selling price is twice as that of the cost price, which means the profit is another 'a'. (ie) 100%.

Kanmani said: (Jun 20, 2016)  
Most of you get confused by this question because you think that we have to find the profit percentage when the selling price is doubled.

But it's not like that.

They have just given a clue to assume how to take profit.

Let's take C. P as x and S. P as why;
We know that profit is S. P - C. P.
Twice the selling price is not equal to thrice the profit.

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

Here, when selling price is doubled (2y) , at that time the profit i.e., (2y - x) is equal to thrice normal profit value3 (y - x).

Then simplifying this 2y - x = 3 (y - x), you will get y = 2x.
Hope you will do the remaining.

Bharathi said: (Jun 22, 2016)  
Hi, l am Bharathi, how comes 3 (y-x) and (2y-x).

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