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 28 of 31.
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.
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)
Saran said:
4 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 = 100,
Hence the profit percentage is 100%.
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 = 100,
Hence the profit percentage is 100%.
Soham Garai said:
4 years ago
Let me clear it;
LET THE CP BE Rs; x.
AND LET THE SP BE Rs y.
So, PROFIT = y - x.
But, HERE AS MENTIONED PROFIT TRIPLES AND SP DOUBLES;
SO,3(y-x) = 2y-x.
3y-3x = 2y-x.
y = 2x(SP).
PROFIT = 2x-x = x.
PROFIT % = x/x * 100=100(HERE X is profit and X is CP).
LET THE CP BE Rs; x.
AND LET THE SP BE Rs y.
So, PROFIT = y - x.
But, HERE AS MENTIONED PROFIT TRIPLES AND SP DOUBLES;
SO,3(y-x) = 2y-x.
3y-3x = 2y-x.
y = 2x(SP).
PROFIT = 2x-x = x.
PROFIT % = x/x * 100=100(HERE X is profit and X is CP).
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.
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)
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.
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)
Pavani said:
4 years ago
I think the answer is wrong.
2Sp = 2profit.
2sp = 2 (sp-cp),
3cp = 2sp,
Profit = 1.
Profit% = 50.
2Sp = 2profit.
2sp = 2 (sp-cp),
3cp = 2sp,
Profit = 1.
Profit% = 50.
Pavani said:
4 years ago
I think the answer is wrong.
2Sp = 2profit.
2sp = 2 (sp-cp),
3cp = 2sp,
Profit = 1.
Profit% = 50.
2Sp = 2profit.
2sp = 2 (sp-cp),
3cp = 2sp,
Profit = 1.
Profit% = 50.
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%.
s.p=2x.
Profit = s.p - c.p.
Profit = 2x - x = x.
Profit % = x*100/x = 100%.
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)
Redhotpoker said:
3 years ago
In the final equation why selling price is x. Why not 2x? Please explain me.
(1)
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