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:
304 comments Page 6 of 31.
Anomiii said:
7 years ago
Let cp = x and sp =y so,profit = y-x.
A/q,
sp = 2y,
new profit = 2y-x,
Now, 2y-x=3(y-x),
=>2x = y.
So profit% = (2y-x * 100)/x.
= (4x-x * 100)/x,
= 300 %.
Can anyone explain why it should not be 300%? We should consider new profit or not if we consider old profit.
Then answer will be 100%.
A/q,
sp = 2y,
new profit = 2y-x,
Now, 2y-x=3(y-x),
=>2x = y.
So profit% = (2y-x * 100)/x.
= (4x-x * 100)/x,
= 300 %.
Can anyone explain why it should not be 300%? We should consider new profit or not if we consider old profit.
Then answer will be 100%.
Amit Hemrajani said:
1 decade ago
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.......
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.......
Kranthi said:
6 years ago
Lets the formula:
profit= sp-cp ------> (1)
Suppose cp=x sp=y.
In the question, sp doubles sp=2y.
Profit tripple means = profit =3(y-x)
In the equation 1 sub.
3(y-x)=2y-x,
Y=2x.
Profit= sp-cp= 2x-x=x,
Profit %=(cp/profit)*100,
= (x/x)*100
= 100.
profit= sp-cp ------> (1)
Suppose cp=x sp=y.
In the question, sp doubles sp=2y.
Profit tripple means = profit =3(y-x)
In the equation 1 sub.
3(y-x)=2y-x,
Y=2x.
Profit= sp-cp= 2x-x=x,
Profit %=(cp/profit)*100,
= (x/x)*100
= 100.
Rajeshkavi said:
1 decade ago
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
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
Sonu nayak said:
1 decade ago
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%.
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%.
Sahil Mayekar said:
6 years ago
P : Profit.
X : Price.
R : RATE.
INITIALLY,
X + P = X + XR/100.
P = XR/100 -----------(1).
BUT WHEN WE DOUBLES THE PRICE,
X + 3P = 2X + 2XR.
BECAUSE WE WANT TO FIND R,
3P = X + 2XR/100.
P = (X + (2XR/100))/3.
Put above P in Equation (1).
(X + (2XR/100))/3 = XR/100.
X + 2XR/100 = 3XR/100.
X = XR/100.
100 = R.
R = 100%.
X : Price.
R : RATE.
INITIALLY,
X + P = X + XR/100.
P = XR/100 -----------(1).
BUT WHEN WE DOUBLES THE PRICE,
X + 3P = 2X + 2XR.
BECAUSE WE WANT TO FIND R,
3P = X + 2XR/100.
P = (X + (2XR/100))/3.
Put above P in Equation (1).
(X + (2XR/100))/3 = XR/100.
X + 2XR/100 = 3XR/100.
X = XR/100.
100 = R.
R = 100%.
Torun said:
7 years ago
Let the C.P be Rs.100 and S.P be Rs.x, Then
The profit is (x-100)
Now the S.P is doubled, then the new S.P is 2x,
New profit is (2x-100),
Now as per the given condition;
=> 3(x-100) = 2 x-100,
By solving, we get;
x = 200.
Then the Profit percent = (200-100)/100 = 100.
Hence the profit percentage is 100%.
The profit is (x-100)
Now the S.P is doubled, then the new S.P is 2x,
New profit is (2x-100),
Now as per the given condition;
=> 3(x-100) = 2 x-100,
By solving, we get;
x = 200.
Then the Profit percent = (200-100)/100 = 100.
Hence the profit percentage is 100%.
Sarfaraz khan said:
7 years ago
Let the C.P be Rs.100 and S.P be Rs.x, Then.
The profit is (x-100).
Now the S.P is doubled, then the new S.P is 2x.
New profit is (2x-100).
Now as per the given condition;
=> 3(x-100) = 2x-100.
By solving, we get;
x = 200.
Then the Profit percent = (200-100)/100 = 100,
Hence the profit percentage is 100%.
The profit is (x-100).
Now the S.P is doubled, then the new S.P is 2x.
New profit is (2x-100).
Now as per the given condition;
=> 3(x-100) = 2x-100.
By solving, we get;
x = 200.
Then the Profit percent = (200-100)/100 = 100,
Hence the profit percentage is 100%.
Saran said:
4 years ago
Let the C.P be Rs.100 and S.P be Rs.x, Then;
The profit is (x-100),
Now the S.P is doubled, then the new S.P is 2x,
New profit is (2x-100),
Now as per the given condition;
=> 3(x-100) = 2x-100.
By solving, we get;
x = 200.
Then the Profit percent = (200-100) * 100/100 = 100,
Hence the profit percentage is 100%.
The profit is (x-100),
Now the S.P is doubled, then the new S.P is 2x,
New profit is (2x-100),
Now as per the given condition;
=> 3(x-100) = 2x-100.
By solving, we get;
x = 200.
Then the Profit percent = (200-100) * 100/100 = 100,
Hence the profit percentage is 100%.
M.V.KRISHNA said:
1 decade ago
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%
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%
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