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 22 of 31.

DDv said:   1 decade ago
Ok look the most basic and fastest way to think.

Take C.P as 100 and sell price as 100+x; where profit is x;

Now 3x = 2*(100+x)-100(C.P);

3x = 100+x;

x = 100;

So on 100 C.P profit 100; so profit is 100%.

Ravi said:   1 decade ago
C.P = x.
S.P = 2x.
P = 3x.

We know Profit = S.P-C.P.

So Here Profit = 2x-x = x.

We also know Profit% = P/C.Px100.

X/Xx100 = 100%.

Shyam said:   1 decade ago
Say CP = 10.

SP = 20 profit will be 10 only.

Then after changing SP twice. It will be 40 right?

So SP*2 = 40.

Now profit = 40-10 = 30. Which is thrice as previous profit?

Then profit % is more 300% is it?

So, I think question need to more descriptive right?

Shiti said:   1 decade ago
Take an example we will take LCM of 2 and 3 as it is double and triple so 6 would be selling price profit is tripled so initial profit is 2 and as selling price is doubled initial SP is 3. So CP is 1 I think the profit percentage i.e P/cp x 100 = 2/1 x 100 = 200%.

Shubham said:   1 decade ago
What is the use of saying "Profit triples", it makes question very confusing. If S.P doubles then how can be profit triples?

Rajan said:   1 decade ago
Please any one explain me in detail each and every step.

Sunil said:   1 decade ago
Let cost price = Rs 1.

Selling price doubled i.e = Rs 2.

Profit triples i.e = Rs 3.

Gain = SP-CP.

= 2-1.

= rs 1/-.

Profit% = gain*100/CP.

= 1*100/1 = 100.

*You take any number it will be true. !

Gaurav said:   1 decade ago
@Pooja but just for clarification.

If you calculate the profit it will not be tripled !

They should add one more option as 300%

If you buy a pencil for 5 rs sell it for 10rs you have a profit of 5rs that's 100% profit !

CP = 5rs.
SP(doubled) = 20rs.
Profit = 20-5 = 15rs.
Profit is thrice the profit it was before 5x3.

Then profit becomes 300%

Pooja said:   1 decade ago
Let CP = x;
SP = 2x;

Profit = SP-CP;
Profit = 2x-x;
Profit = x;

Gain% = (gain*100/cp);
Gain% = (x*100/X);
Gain% = 100;

Karu said:   1 decade ago
SP = x;
CP = y;
p = (x-y)*100/y;

SP' = 2x;
P' = 3*P;

=> (2x-y)*100/y = 3*(x-y)*100/y;

=> x = 2*y;
=> SP = 2*CP;

=> P = 100%;
=> Profit Percent = 100%.


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