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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

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: (Fri, Jul 16, 2010 12:51:23 AM)    
 
I don't understand explanation. So, please tell me detailed explanation.

Sangeetha K. said: (Wed, Aug 4, 2010 03:23:14 AM)    
 
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: (Wed, Aug 11, 2010 06:40:38 AM)    
 
Why did you equaled 3 (y-x) = (2y-x). Please explain it detaily.

Giriganesh said: (Wed, Aug 18, 2010 01:48:19 AM)    
 
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: (Sat, Sep 11, 2010 03:47:44 AM)    
 
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: (Sat, Oct 9, 2010 09:46:29 AM)    
 
@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: (Sun, Nov 14, 2010 03:07:49 AM)    
 
Chetan answer is right, check answer of Sangeetha

Sandhya said: (Mon, Nov 29, 2010 09:50:13 AM)    
 
Please give me clear answer, I don't understand how (2y-x)come ?

Saleem said: (Sun, Dec 12, 2010 07:07:22 AM)    
 
Assume s.p=20, profit=10

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

So 100%.

Rajeshkavi said: (Tue, Dec 14, 2010 12:30:22 AM)    
 
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: (Wed, Dec 22, 2010 12:25:12 AM)    
 
Let c.p=x
s.p=2x

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

Vinod said: (Tue, Jan 18, 2011 05:52:18 AM)    
 
= S.P - C.P = PROFIT/100%

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

= X = 1/100
=100%.

Divyesh said: (Sat, Jan 22, 2011 10:51:05 PM)    
 
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: (Mon, Feb 7, 2011 08:36:47 AM)    
 
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: (Tue, Feb 8, 2011 07:53:37 AM)    
 
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: (Wed, Feb 9, 2011 02:18:51 AM)    
 
Let SP= 10 Rs.

If it is doubled den SP =20rs,

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

Satish said: (Sat, Feb 12, 2011 01:05:40 AM)    
 
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: (Fri, Feb 25, 2011 02:25:48 PM)    
 
3(y - x) = (2y - x) In this eqn how you subtract x from 2y?

I can not undestand pls explain.

Aakash Kathunia said: (Mon, Feb 28, 2011 09:30:28 AM)    
 
I am also not able to understand how you substract x from 2y.. please explain... plz

Prasad said: (Tue, Mar 1, 2011 02:14:02 AM)    
 
Balaji explained well thank you very much.

Kiran said: (Mon, Mar 7, 2011 03:35:10 AM)    
 
Still I m unable to understand this problem please help me out.

M.V.Krishna said: (Mon, Mar 14, 2011 12:23:06 PM)    
 
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: (Thu, Mar 17, 2011 10:19:41 AM)    
 
Help. Please give me an another way to solve the problem.

Suraj Sahoo said: (Sun, Mar 27, 2011 02:39:34 PM)    
 
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: (Fri, May 13, 2011 01:16:51 AM)    
 
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: (Fri, Jun 17, 2011 12:09:01 PM)    
 
@Balaji well done.

Atul said: (Fri, Jun 17, 2011 04:44:39 PM)    
 
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: (Wed, Jul 6, 2011 02:26:48 AM)    
 
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: (Sat, Jul 9, 2011 04:03:31 PM)    
 
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: (Sun, Jul 10, 2011 11:50:15 AM)    
 
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: (Sun, Jul 17, 2011 02:15:26 AM)    
 
Guneet thanks I got it clearly !

Pratyusha said: (Fri, Aug 5, 2011 10:10:30 AM)    
 
How can you write profit=3(y-x)=2y-x ? Please can any one tell me.

Swetha said: (Fri, Sep 2, 2011 01:41:46 PM)    
 
@Pratyusha

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

Well done balaji!

Narayanan said: (Tue, Sep 6, 2011 04:51:15 PM)    
 
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: (Thu, Sep 8, 2011 08:26:04 PM)    
 
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: (Sat, Sep 17, 2011 01:14:16 PM)    
 
See balaji explaination. Its very clear.

Hamzah Bhatti said: (Sun, Sep 18, 2011 12:01:37 PM)    
 
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: (Wed, Sep 21, 2011 06:41:44 PM)    
 
Thanks Satish. Its really simple.

Shree said: (Thu, Oct 13, 2011 03:15:07 PM)    
 
Raj answer is so simple:).

Ravi said: (Sun, Oct 30, 2011 06:23:56 PM)    
 
Thanks @balaji

Samy said: (Sat, Nov 19, 2011 10:10:27 AM)    
 
Balaji answer is nice thanks to you.

Ravi Teja said: (Thu, Nov 24, 2011 06:52:23 PM)    
 
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: (Wed, Nov 30, 2011 05:28:14 PM)    
 
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: (Thu, Dec 1, 2011 04:43:45 PM)    
 
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: (Tue, Dec 20, 2011 10:24:51 PM)    
 
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: (Mon, Jan 2, 2012 01:43:09 PM)    
 
@Guneet your right dude good explanation.

Amit Hemrajani said: (Mon, Jan 16, 2012 02:26:07 PM)    
 
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: (Mon, Feb 20, 2012 12:09:59 PM)    
 
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: (Sat, Mar 24, 2012 06:31:55 PM)    
 
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: (Thu, Apr 19, 2012 09:59:52 AM)    
 
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: (Sun, May 6, 2012 10:52:52 PM)    
 
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: (Sun, Aug 19, 2012 11:57:27 AM)    
 
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: (Sat, Sep 8, 2012 04:23:37 PM)    
 
Let c.p=x
s.p=2x
profit=s.p-c.p
=2x-x
=x
%profit=(x/x*100)
=100%

Poonam said: (Sat, Sep 8, 2012 10:01:27 PM)    
 
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: (Thu, Nov 29, 2012 02:49:38 AM)    
 
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: (Sun, Jan 13, 2013 07:37:02 PM)    
 
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: (Wed, Feb 13, 2013 01:43:44 AM)    
 
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: (Sun, Apr 7, 2013 05:56:06 PM)    
 
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: (Fri, Jun 14, 2013 12:47:45 PM)    
 
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: (Sat, Jun 15, 2013 12:32:16 PM)    
 
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: (Tue, Jul 9, 2013 03:45:45 PM)    
 
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: (Sun, Jul 14, 2013 03:58:36 PM)    
 
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: (Thu, Aug 1, 2013 01:06:43 PM)    
 
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: (Fri, Aug 2, 2013 05:21:36 PM)    
 
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: (Fri, Aug 9, 2013 02:50:44 PM)    
 
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: (Mon, Sep 16, 2013 11:01:09 PM)    
 
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: (Fri, Oct 4, 2013 05:08:35 PM)    
 
Formula's used:

1) Profit = SP-CP.

2) Profit % = Profit/CP *100.

Anshika said: (Sun, Oct 20, 2013 04:39:28 PM)    
 
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: (Wed, Nov 13, 2013 03:41:07 PM)    
 
When selling price doubled even cost price is also doubled than how this comes SP = 2y-x ?

Venkatesh said: (Fri, Nov 22, 2013 12:24:46 PM)    
 
CP = x,
SP = 2x,

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

Profit = x.

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

= (x/x)*100.

=100%.

Saba Karim said: (Wed, Dec 11, 2013 01:27:23 PM)    
 
@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: (Fri, Dec 20, 2013 07:18:53 PM)    
 
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: (Wed, Feb 19, 2014 03:19:51 PM)    
 
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: (Tue, Feb 25, 2014 07:39:17 PM)    
 
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: (Wed, Feb 26, 2014 08:00:44 PM)    
 
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: (Fri, Mar 14, 2014 06:31:17 PM)    
 
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%.

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