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:
303 comments Page 3 of 31.

Yudhishther Giri said:   7 months ago
Cp = x
Sp = 2X(doubled)
P = 3X(tripled)
P% = p/cp*100
Cp = sp - p
= 3x - 2x
= 1x = x.

P% = 1x = 1p( 1p = 1 profit).
Anything's 100 % is itself.
So, 100x=100p(100p= 100 profit)
(5)

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.
(4)

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

Akshith said:   1 year ago
Option 1 is correct.

Explanation :

3p = 2cp-cp/cp.
3p = cp/cp.
p = 1/3.
p% = 100/3.
p% = 662/3.
(4)

Akash Kurmi said:   4 weeks ago
SP = CP + P
If sp -> 2sp,
then p-> 3p.

sp - cp gives profit,
2(sp) - cp gives total profit which equal to 3p(profit) -> eqn 1

2(cp + p) - cp = 3p,
2cp + 2p -cp = 3p,
cp = p.

p->cp
p equals to cp, which is 100%.
(4)

Raj said:   1 decade ago
Let c.p=x
s.p=2x

Profit = s.p - c.p
Profit = 2x - x = x
Profit % = x*100/x = 100%
(1)

Swaathi said:   6 years ago
Please read the question carefully,

S.P. is doubled.

Profit triples.

Let C.P. = 10, S.P. =20, Profit =30.

Profit%= (S.P. - C.P. ) / (C.P. ) *100.

= (20-10) / (10) *100.

=10/10*100.

=100%.

SOLVED.
(1)

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%.
(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.
(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.
(1)


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