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

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

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)

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% .

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:
(Tue, Oct 21, 2014 08:40:22 AM)

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:
(Mon, Nov 3, 2014 01:06:29 AM)

Please any one explain me in detail each and every step.

Shubham said:
(Sun, Dec 21, 2014 06:56:54 PM)

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:
(Sat, Jan 10, 2015 10:44:30 AM)

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:
(Fri, Jan 30, 2015 04:19:23 PM)

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:
(Tue, Feb 10, 2015 04:24:46 PM)

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:
(Thu, Feb 12, 2015 02:33:50 AM)

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:
(Tue, Feb 24, 2015 02:40:39 PM)

CP = x, SP = 2x.

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

%profit = (profit/CP)*100.

= x/x*100.

= 100.

Kehkashaa Dubey said:
(Sun, Mar 15, 2015 12:23:34 AM)

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%.

Mrigansh Mathur said:
(Thu, May 28, 2015 01:17:07 PM)

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:
(Fri, May 29, 2015 12:30:17 PM)

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:
(Mon, Jun 8, 2015 02:47:51 PM)

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:
(Sat, Jun 13, 2015 11:33:13 AM)

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:
(Wed, Jun 24, 2015 08:57:10 PM)

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:
(Mon, Jun 29, 2015 11:49:48 AM)

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:
(Fri, Aug 7, 2015 05:54:05 PM)

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:
(Thu, Aug 13, 2015 10:36:38 AM)

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:
(Fri, Aug 14, 2015 04:22:27 PM)

Why here 2y-x is done? As we are only doubling selling price which is y.

Manish Raj said:
(Fri, Aug 21, 2015 04:23:02 PM)

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.