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.
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 4 of 31.
Pravallika said:
5 years ago
Let cp = x; and sp = y;
First profit = sp - cp so it will be = y - x.
P =y-x --> 1.
Given that 3p=2y-x
Substitute p from 1.
3(y-x) = 2y - x,
y = 2x.
Now profit = sp - cp = y - x = 2x - x = x.
Profit%=profit/cp*100.
=x/x*100 = 100%.
First profit = sp - cp so it will be = y - x.
P =y-x --> 1.
Given that 3p=2y-x
Substitute p from 1.
3(y-x) = 2y - x,
y = 2x.
Now profit = sp - cp = y - x = 2x - x = x.
Profit%=profit/cp*100.
=x/x*100 = 100%.
(1)
Madhavi said:
4 years ago
It's clearly mentioned in the question.
i) 2S.P - C.P = 3Profit
ii)Profit = S.P - C.P.
Now substitute ii in i, then you will get,
2S.P-C.P = 3(S.P-C.P).
After the simplification.
S.P = 2C.P.
* iii) (S.P/C.P)=2.
Now we have to find the profit%.
Profit%=((S.P-C.P)/C.P)*100 = {(S.P/C.P)-1}*100.
Substituting iii in above will give you (2-1)*100 = 100,
So the Profit %=100.
i) 2S.P - C.P = 3Profit
ii)Profit = S.P - C.P.
Now substitute ii in i, then you will get,
2S.P-C.P = 3(S.P-C.P).
After the simplification.
S.P = 2C.P.
* iii) (S.P/C.P)=2.
Now we have to find the profit%.
Profit%=((S.P-C.P)/C.P)*100 = {(S.P/C.P)-1}*100.
Substituting iii in above will give you (2-1)*100 = 100,
So the Profit %=100.
(1)
Neeraj said:
4 years ago
I have a doubt, is the question asking to calculate profit before doubling the SP or after?
Let us assume SP = Rs 6, CP = Rs 3, Profit = Rs 3.
As per question new SP = Rs 12, CP will remain same Rs 3 , Profit = Rs 9 ( triple of previous).
in 1st case P% = P/CPx100 = 3/3 x100 = 100%.
in 2nd case P% = 9/3 x100 = 300%.
Please confirm what is specified by the question? Profit in 1st case or 2nd case. Please explain me.
Let us assume SP = Rs 6, CP = Rs 3, Profit = Rs 3.
As per question new SP = Rs 12, CP will remain same Rs 3 , Profit = Rs 9 ( triple of previous).
in 1st case P% = P/CPx100 = 3/3 x100 = 100%.
in 2nd case P% = 9/3 x100 = 300%.
Please confirm what is specified by the question? Profit in 1st case or 2nd case. Please explain me.
(1)
Redhotpoker said:
4 years ago
In the final equation why selling price is x. Why not 2x? Please explain me.
(1)
Ezhilarasi.M said:
2 decades ago
I don't understand explanation. So, please tell me detailed explanation.
Sangeetha K. said:
2 decades ago
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%
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:
2 decades ago
Why did you equaled 3 (y-x) = (2y-x). Please explain it detaily.
Giriganesh said:
2 decades ago
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).
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:
2 decades ago
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".
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:
1 decade ago
@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.
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.
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