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:
303 comments Page 2 of 31.
Diforce Kumar Mehta said:
3 years ago
1st condition.
Let cp = x and sp=y
Profit = y-x.
2nd condition,
When sp is doubled,sp=2y.
Profit becomes triples, profit =3(y-x).
So,cp = sp - profit.
= 2y-3(y-x) = 3x - y.
As we know, cp at very condition will be the same.
3x-y = x.
2x = y.
Profit % = (profit/cp) * 100%,
= (y-x)/x * 100%,
= (2x-x)/x * 100%,
= 100%.
Let cp = x and sp=y
Profit = y-x.
2nd condition,
When sp is doubled,sp=2y.
Profit becomes triples, profit =3(y-x).
So,cp = sp - profit.
= 2y-3(y-x) = 3x - y.
As we know, cp at very condition will be the same.
3x-y = x.
2x = y.
Profit % = (profit/cp) * 100%,
= (y-x)/x * 100%,
= (2x-x)/x * 100%,
= 100%.
(30)
Kalyani said:
5 months ago
s.p = x.
c.p = y.
p = s.p - c.p =>x - y.
s.p is doubled = 2x.
p =2x-y.
profit is tripled 3(x-y) = p.
3(x-y) = 2x-y.
3x-3y = 2x-y.
x = 2y.
p= 2y-y => y.
p% = y/y *100 =>100%.
c.p = y.
p = s.p - c.p =>x - y.
s.p is doubled = 2x.
p =2x-y.
profit is tripled 3(x-y) = p.
3(x-y) = 2x-y.
3x-3y = 2x-y.
x = 2y.
p= 2y-y => y.
p% = y/y *100 =>100%.
(23)
ADAM said:
3 years ago
Simple way,
Here SP is doubled,
If normally 100%.
Double means = 200%,
profit is 200%-100% = 100%.
Here SP is doubled,
If normally 100%.
Double means = 200%,
profit is 200%-100% = 100%.
(19)
Gudikandula vamshi said:
11 months ago
Assume 40 is cost price,
80 as selling price,
120 is the profit.
As per the question, we have a formula for profit% = gain * 100/cost price = 40 * 100/100 = 100.
80 as selling price,
120 is the profit.
As per the question, we have a formula for profit% = gain * 100/cost price = 40 * 100/100 = 100.
(14)
Mona said:
2 months ago
S.P = 2X => Double
C.P= X
P= (X-2X)3 => Triple
= 3X - 2X,
P= X.
Profit% = Profit/C.P × 100.
X/X ×100,
100.
Then, Profit% = 100.
C.P= X
P= (X-2X)3 => Triple
= 3X - 2X,
P= X.
Profit% = Profit/C.P × 100.
X/X ×100,
100.
Then, Profit% = 100.
(12)
Ravi Rajput said:
1 week ago
Let cp = 100
sp = 200.
Profit = 200 - 100 = 100,
Profit % = (100/100) * 100 = 100% ( Ans).
sp = 200.
Profit = 200 - 100 = 100,
Profit % = (100/100) * 100 = 100% ( Ans).
(9)
Sukumar Natarajan said:
3 years ago
Let CP=100 and SP=y
Profit = y-100.
If SP doubles, profit triples.
3(100-y) = 100-2y,
300 - 3 y = 100-2y,
y= 200.
SP is 200. CP was already taken as 100. So, profit is 100%.
Profit = y-100.
If SP doubles, profit triples.
3(100-y) = 100-2y,
300 - 3 y = 100-2y,
y= 200.
SP is 200. CP was already taken as 100. So, profit is 100%.
(6)
Gere said:
11 months ago
Good, thanks everyone for giving an explanation.
(6)
Qaaa said:
4 years ago
If,
C.P=100.
S.p = 200,
Profit = 100.
If s.p doubles;
C. P=100,
S.p=400,
Profit=300.
Hence, profit % =100/100 * 100 = 100.
C.P=100.
S.p = 200,
Profit = 100.
If s.p doubles;
C. P=100,
S.p=400,
Profit=300.
Hence, profit % =100/100 * 100 = 100.
(5)
SHIVAM said:
3 years ago
@Redhotpoker.
yes, you are right S.P is 2x but.
Gain% = SP-CP/CP * 100 ( SP = 2x and CP = x).
= 2x-x/x * 100,
= 100%.
yes, you are right S.P is 2x but.
Gain% = SP-CP/CP * 100 ( SP = 2x and CP = x).
= 2x-x/x * 100,
= 100%.
(5)
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