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 8 of 31.
Anu said:
4 years ago
@Ashwini.
We could assume C. P as 100.
Now by the given condition,
If C. P = 100 than S. P = 2*100 = 200.
So now using profit % formula;
(S. P - C.P)*100/C.P,
S. P - C. P = 200 - 100 = 100 ; and also C.P = 100,
So, profit% = 100 *100/100,
Hence, the profit% = 100.
We could assume C. P as 100.
Now by the given condition,
If C. P = 100 than S. P = 2*100 = 200.
So now using profit % formula;
(S. P - C.P)*100/C.P,
S. P - C. P = 200 - 100 = 100 ; and also C.P = 100,
So, profit% = 100 *100/100,
Hence, the profit% = 100.
Shiti said:
1 decade ago
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:
1 decade ago
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?
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?
Nants said:
7 years ago
Dear sir,
Here,if cp=x, sp=y.
Then according to question profit will be;
Profit =(y-x),
Here, 3(y-x)=2y-x,
Profit triple =3(y-x) it is clear,
But,selling price doubled then it should be;
S.P doubled =2y.
Then how come 2y-x?
I could not get it. Please tell me.
Here,if cp=x, sp=y.
Then according to question profit will be;
Profit =(y-x),
Here, 3(y-x)=2y-x,
Profit triple =3(y-x) it is clear,
But,selling price doubled then it should be;
S.P doubled =2y.
Then how come 2y-x?
I could not get it. Please tell me.
Poonam said:
1 decade ago
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.
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.
Soham Garai said:
4 years ago
Let me clear it;
LET THE CP BE Rs; x.
AND LET THE SP BE Rs y.
So, PROFIT = y - x.
But, HERE AS MENTIONED PROFIT TRIPLES AND SP DOUBLES;
SO,3(y-x) = 2y-x.
3y-3x = 2y-x.
y = 2x(SP).
PROFIT = 2x-x = x.
PROFIT % = x/x * 100=100(HERE X is profit and X is CP).
LET THE CP BE Rs; x.
AND LET THE SP BE Rs y.
So, PROFIT = y - x.
But, HERE AS MENTIONED PROFIT TRIPLES AND SP DOUBLES;
SO,3(y-x) = 2y-x.
3y-3x = 2y-x.
y = 2x(SP).
PROFIT = 2x-x = x.
PROFIT % = x/x * 100=100(HERE X is profit and X is CP).
Pankaj said:
7 years ago
Let S.P - x, C.P-Y.
Given,
2 S.P = 3 P.
2 x = 3( X - Y),
From here find C.P i.e,
Y = X/3.
Now find profit P=X-Y.
=X - X/3. (Bcz, Y=X/3),
= X/3.
Now use P% formula.
P% = P/C.P * 100.
= X/3/X/3 *100,
= 100%.
Given,
2 S.P = 3 P.
2 x = 3( X - Y),
From here find C.P i.e,
Y = X/3.
Now find profit P=X-Y.
=X - X/3. (Bcz, Y=X/3),
= X/3.
Now use P% formula.
P% = P/C.P * 100.
= X/3/X/3 *100,
= 100%.
Rohan said:
4 years ago
Hi;
In this equation, the statement is if s.p. is doubling then profit triples I.e c.p is x and s.p is y. Therefore ३ (y-x)=(२y-x) then in this equation why x is involved in २y-x the only sp is doubled then profit triples, so why x cp is involved?
In this equation, the statement is if s.p. is doubling then profit triples I.e c.p is x and s.p is y. Therefore ३ (y-x)=(२y-x) then in this equation why x is involved in २y-x the only sp is doubled then profit triples, so why x cp is involved?
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).
Ketema said:
10 years ago
@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%.
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%.
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