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:
304 comments Page 9 of 31.
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%.
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)
Ayush Kumar said:
2 years ago
SUPER EASY 1-LINE SOLUTION.
Suppose,
C.P =1;
S.P=2;
PROFIT=1;
when S.P doubled.
S.P =4; (Selling price doubled from 2 to 4)
PROFIT =3;(profit increased from 1 to 3)
GAIN% = P/CP *100.
1/1 *100 = 100%
Suppose,
C.P =1;
S.P=2;
PROFIT=1;
when S.P doubled.
S.P =4; (Selling price doubled from 2 to 4)
PROFIT =3;(profit increased from 1 to 3)
GAIN% = P/CP *100.
1/1 *100 = 100%
(81)
Damodar Narayan said:
1 decade ago
PROFIT (P) = Selling Price(S) - Cost Price(C).
Simply P = S-C -------->(1).
As per the question.
3P = 2S-C.
3(S -C ) = 2S- C -------> from EQ 1.
S = 2C --------> by Simplifying.
Now P%= ((S-C)/C ) *100.
= ((2C-C)/C)*100 = 100.
Simply P = S-C -------->(1).
As per the question.
3P = 2S-C.
3(S -C ) = 2S- C -------> from EQ 1.
S = 2C --------> by Simplifying.
Now P%= ((S-C)/C ) *100.
= ((2C-C)/C)*100 = 100.
Manish raj said:
1 decade ago
Suppose the cost is 10 and the selling price is 15 then the profit is 5 after all the selling price being double means 30 the profit being triple means 5+5+5=15. So our selling price is 15 or our profit is also 15 then the profit is 100 percent.
Naseem Saifi said:
10 years ago
Given that,
S.P = 2*C.P______ (1).
Profit = 3*C.P___ (2).
We know that profit = S.P-C.P [Formula 4 profit].
=> profit = 2*C.P-C.P = C.P___ (3) [From 1st S.P = 2*C.P].
Profit% = Profit/C.P*100 [Formula 4 profit%].
= C.P/C.P*100 = 100.
S.P = 2*C.P______ (1).
Profit = 3*C.P___ (2).
We know that profit = S.P-C.P [Formula 4 profit].
=> profit = 2*C.P-C.P = C.P___ (3) [From 1st S.P = 2*C.P].
Profit% = Profit/C.P*100 [Formula 4 profit%].
= C.P/C.P*100 = 100.
Arjun Pal said:
8 years ago
How about doing this question like this?
Let CP be Rs 100,
then by question SP =200,
then profit percent is;
(SP-CP)*100÷CP,
so ( 200-100)*100÷ 100,
=100.
So required answer is 100, hope I am right please suggest me if I am wrong.
Let CP be Rs 100,
then by question SP =200,
then profit percent is;
(SP-CP)*100÷CP,
so ( 200-100)*100÷ 100,
=100.
So required answer is 100, hope I am right please suggest me if I am wrong.
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%.
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%.
Md. Arif Hossain said:
6 years ago
Let,
Sp = 30.
Profit = 10.
Now if sp becomes double the new sp would be 30*2= 60 and if profit triple then new profit would be = 10*3= 30.
So, new cp = 60-30=30.
So, profit percentage would be = new profit/new cp *100.
= 30/30*100 =100%.
Sp = 30.
Profit = 10.
Now if sp becomes double the new sp would be 30*2= 60 and if profit triple then new profit would be = 10*3= 30.
So, new cp = 60-30=30.
So, profit percentage would be = new profit/new cp *100.
= 30/30*100 =100%.
DAVID SAMUEL said:
9 years ago
P = S.P-C.P...............1
3P = 2S.P-C.P...........2
BY SOLVING 1 AND 2 WE GET.
S.P=2 C.P..........3.
WE KNOW (P=S.P-C.P)...PUT 3 IN THIS;
WE GET,
P=C.P........4.
PUT 4 IN FORMULA OF P%.
we GET P%=C.PX100/C.P.
P% = 100.
VERY SIMPLE.
3P = 2S.P-C.P...........2
BY SOLVING 1 AND 2 WE GET.
S.P=2 C.P..........3.
WE KNOW (P=S.P-C.P)...PUT 3 IN THIS;
WE GET,
P=C.P........4.
PUT 4 IN FORMULA OF P%.
we GET P%=C.PX100/C.P.
P% = 100.
VERY SIMPLE.
Betzy said:
1 decade ago
If new profit is 2y-x, how come 2y-x(profit)=3(y-x), which is 3 times profit. But how come PROFIT=PROFIT? It should be double the SP, triples profit. How come 2y-x=3(y-x) ? it will be 2y=3(y-x)? please help. I am not getting the logic.
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