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:
304 comments Page 21 of 31.

Rishabh said:   7 years ago
Can anyone here explain why my trick doesnt work?

Lets take C. P. = 100,
S. P. = 200,
Double the S. P = 400,
Now the Profit = 300.

I get 75% of the profit from 400 which is 300.

Sudhanshu said:   7 years ago
Profit will be 200%.

The question says if SP (y) is doubled, i.e. 2y the profit will be 3 times. Which means;

2y=3(y-x)
2y=3y-3x
Y=3x.

Now, profit will be S.P- C.P. which now will turn out to be 3x-x=2x.

Profit % will be 2x/X*100= 200%.

Reshma krishnan said:   7 years ago
Cp=x and sp=y.

Profit =sp-cp,
Profit=3(y-x)________(1)[triple the profit]
Profit=2y-x__________(2)[selling price double]
Equate (1) &(2)
3(y-x)=2y-x,
3y-3x=2y-x,
3y-2y=-x+3x.
Y=2x [ selling price is 2x],
Profit =sp-cp,
=y-x,
=2x-x
=x.
Profit %= profit÷cp *100,
=x÷x *100,
=100%.

Pavan kumar said:   7 years ago
If cp is 100 rupee, sp will be 200rupee as told in the problem(i.e sp is doubled), then the profit % comes 100%. How we can say this profit % is triples to cp. Triples means 300% right?

Can anybody suggest me?

Akshay Phatak said:   7 years ago
If Suppose CP=1 and SP=2,
then gain=1,
Now if SP=4,
then gain=3,
Hence we can calculate profit% as,
Profit%=gain*100/CP=(SP-CP)*100/CP=(1*100)/1=100.

Komal said:   7 years ago
Can anyone explain me in a simple way?

Sandeep verma said:   7 years ago
Given;

2SP=3P (P=SP-CP),
2SP=3SP-3CP,
SP=3CP OR SP/CP =3 (PROFIT=2),
%P=(2÷1)*100 =200 %will be answer.

VENU said:   7 years ago
Let The c.p be x
A/c to prblm s.p is 2 times c.p i.e 2x
Profit =s.p-c.p.
==> 2x-x =x.
%p=(profit*100)÷c.p,
%p=( x*100)÷x,
%p=100.

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%.

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%.


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