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.
66 2
3
100
105 1
3
120
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 3 of 31.

Sangamesh said:   3 years ago
Assume cp=100.
And sp = 200. (sp double).
Means profit = 100.

Profit %= profit * 100/ cp.
= 100 * 100/100,
=100.
(58)

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%.
(30)

ADAM said:   3 years ago
Simple way,

Here SP is doubled,
If normally 100%.
Double means = 200%,
profit is 200%-100% = 100%.
(19)

DEEKSHITHA BARETTO said:   3 years ago
The formula for gain is CP-SP right?
(4)

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%.
(6)

SHIVAM said:   4 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%.
(5)

Redhotpoker said:   4 years ago
In the final equation why selling price is x. Why not 2x? Please explain me.
(1)

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.
(5)

Aastha said:   4 years ago
Let c.p=x.
s.p=2x.
Profit = s.p - c.p.
Profit = 2x - x = x.
Profit % = x*100/x = 100%.

Pavani said:   4 years ago
I think the answer is wrong.

2Sp = 2profit.
2sp = 2 (sp-cp),
3cp = 2sp,
Profit = 1.
Profit% = 50.


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