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 14 of 31.
Jeevana said:
8 years ago
P= sp -cp.
2x -x = x.
P% = x/x * 100%,
100%.
2x -x = x.
P% = x/x * 100%,
100%.
Tharun said:
8 years ago
Let the C.P. be x and the S.P be y.
So the profit is (y - x) ---------------------------- (1)
Now, the S.P. is doubled. So the new S.P. = 2y.
The new profit = (2y - x).
Given that when S.P. is doubled, profit increases 3 times
=> New profit = 3 * old profit,
=> (2y - x) = 3(y - x),
=> y = 2x.
So, the profit = (y - x) = (2x - x) = x.
% profit = (x * 100)% = 100%.
So the profit is (y - x) ---------------------------- (1)
Now, the S.P. is doubled. So the new S.P. = 2y.
The new profit = (2y - x).
Given that when S.P. is doubled, profit increases 3 times
=> New profit = 3 * old profit,
=> (2y - x) = 3(y - x),
=> y = 2x.
So, the profit = (y - x) = (2x - x) = x.
% profit = (x * 100)% = 100%.
Satya said:
8 years ago
Here, we have to make L.H.S = R.H.S for making equation (profit = profit).
Given S.P double thn Profit triple,
So, as considered C.P as X and S.P as Y,
S.P doubles then it is 2Y, But profit means S.P - C.P so it becomes 2Y-X, ---------- PROFIT (R.H.S)
Next given profit triples so profit means S.P - C.P, that is Y-X becomes 3(Y-X) --------PROFIT (L.H.S).
Equating R.H.S with L.H.S becomes 2Y-X = 3(Y-X).
Next, solve the equation.
Given S.P double thn Profit triple,
So, as considered C.P as X and S.P as Y,
S.P doubles then it is 2Y, But profit means S.P - C.P so it becomes 2Y-X, ---------- PROFIT (R.H.S)
Next given profit triples so profit means S.P - C.P, that is Y-X becomes 3(Y-X) --------PROFIT (L.H.S).
Equating R.H.S with L.H.S becomes 2Y-X = 3(Y-X).
Next, solve the equation.
Somen Kisku said:
8 years ago
Suppose, CP = 100,
Profit = x,
Selling Price = 100 + x.
=>According to question,
2 * SP = CP + (3 * Profit).
Or, 2(100+x) = 100 + 3x.
Or, 200+2x = 100 + 3x.
Or, 3x - 2x = 200 - 100,
Or, x =100.
=> Profit = 100%.
Profit = x,
Selling Price = 100 + x.
=>According to question,
2 * SP = CP + (3 * Profit).
Or, 2(100+x) = 100 + 3x.
Or, 200+2x = 100 + 3x.
Or, 3x - 2x = 200 - 100,
Or, x =100.
=> Profit = 100%.
Pranitha said:
8 years ago
I can't understand. Why we are substituting 3(y-x) = (2y-x)?
Sharath said:
8 years ago
Profit = sp-cp......1.
New sp = 2sp(given)
New profit = 3profit(given)
New profit =new sp - cp.
i.e 3profit= 2sp-cp.......2
2 divided by 1.
3=(2sp-cp)/(sp - cp).
After simplification we get sp= 2cp.
Substitute this in profit equation.
Profit = 2cp - cp.
=> profit = cp.
%profit= (profit/cp) * 100.
=>(cp/cp) * 100.
Hence 100%.
New sp = 2sp(given)
New profit = 3profit(given)
New profit =new sp - cp.
i.e 3profit= 2sp-cp.......2
2 divided by 1.
3=(2sp-cp)/(sp - cp).
After simplification we get sp= 2cp.
Substitute this in profit equation.
Profit = 2cp - cp.
=> profit = cp.
%profit= (profit/cp) * 100.
=>(cp/cp) * 100.
Hence 100%.
Pradeep said:
8 years ago
@Mohd Murtaza.
Triple profit is missing in your explanation.
Triple profit is missing in your explanation.
Mohd Murtaza Ali Khan said:
8 years ago
Very short method.
Let CP = x
Sp is double = 2x
Gain=sp-cp = x
Gain = (100 * gain/CP),
= (100 * x/x),
= 100.
Let CP = x
Sp is double = 2x
Gain=sp-cp = x
Gain = (100 * gain/CP),
= (100 * x/x),
= 100.
Nibedita Banerjee said:
8 years ago
LET,
C.P= 100.
PROFIT= x.
THEREFORE , S.P =100 + x.
AS PER THE QUESTION,
2 * S.P- C.P = 3 * PROFIT.
2(100+x)-100 = 3x
or, 200+2x-100 = 3x.
or, x = 100.
C.P= 100.
PROFIT= x.
THEREFORE , S.P =100 + x.
AS PER THE QUESTION,
2 * S.P- C.P = 3 * PROFIT.
2(100+x)-100 = 3x
or, 200+2x-100 = 3x.
or, x = 100.
DAVID SAMUEL said:
8 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.
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