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)
y = 2x.
Profit % =
% = 100%