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 7 of 31.
Narayanan said:
1 decade ago
Ya..balaji's explanation is clear Profit= y-x___________(1)
From the data given, if selling price doubles, profit will be tribled. So that
From(1), we can write
Profit = y-x, here from the data given if y doubles profit will be tribled. so we can write in place of profit we can write y-x
3(y-x) = 2y-x.
From the data given, if selling price doubles, profit will be tribled. So that
From(1), we can write
Profit = y-x, here from the data given if y doubles profit will be tribled. so we can write in place of profit we can write y-x
3(y-x) = 2y-x.
Saba Karim said:
1 decade ago
@Ezhilarasi.M.
Its is a simple question so it's answer should also be simple.
Explanation: Let CP= 100, Profit= x.
So, SP= 100+x.
Now SP= 2 (100+x) then profit=3x.
=> 200+2x-100= profit (since- SP- CP = profit).
=> 2x+100= Profit.
=> 2x+100= 3x (since profit=3x now).
=> x=100 is the answer.
Its is a simple question so it's answer should also be simple.
Explanation: Let CP= 100, Profit= x.
So, SP= 100+x.
Now SP= 2 (100+x) then profit=3x.
=> 200+2x-100= profit (since- SP- CP = profit).
=> 2x+100= Profit.
=> 2x+100= 3x (since profit=3x now).
=> x=100 is the answer.
Divyesh said:
1 decade ago
Let s.p. = y and c.p. = x
now current profit is (y-x)
and the profit when the s.p. is doubled is (2y-x)
now according to the equation
(2y-x)/3 = (y-x) bcaz new profit is thrice a current profit
solving equation we get y=2x
when s.p. is doubled as c.p.
so profit = (y-x)/x * 100 = (2x-x)/x * 100 = 100%
now current profit is (y-x)
and the profit when the s.p. is doubled is (2y-x)
now according to the equation
(2y-x)/3 = (y-x) bcaz new profit is thrice a current profit
solving equation we get y=2x
when s.p. is doubled as c.p.
so profit = (y-x)/x * 100 = (2x-x)/x * 100 = 100%
Viral Jani said:
8 years ago
@All.
For example
SP=100
CP=50
Profit=100-50=50
Now SP1=2(100)
CP=50
Profit1=200-50=150
So in this case, if selling price increased by double sp1=2*sp then profit1=3*profit... it seems final question requires detailed information. Like total extra profit 150-50=100 which is 100% of selling price.
For example
SP=100
CP=50
Profit=100-50=50
Now SP1=2(100)
CP=50
Profit1=200-50=150
So in this case, if selling price increased by double sp1=2*sp then profit1=3*profit... it seems final question requires detailed information. Like total extra profit 150-50=100 which is 100% of selling price.
Vagisha said:
6 years ago
FROM %P FORMULA.
WE KNOW;
SP = ((100+%P) /100 ) *CP
so 100 and CP being constant we have the relation
SP is directly proportional to 100+%P
thus;
SP1/SP2 = (100+%P1) / (100+%P2).
Given SP=2SP.
And P = 3P.
THUS
SP / 2SP = (100+P)/(100+3P).
On simplifying;
100+3P = 200+2P,
GIVING
P = 100.
WE KNOW;
SP = ((100+%P) /100 ) *CP
so 100 and CP being constant we have the relation
SP is directly proportional to 100+%P
thus;
SP1/SP2 = (100+%P1) / (100+%P2).
Given SP=2SP.
And P = 3P.
THUS
SP / 2SP = (100+P)/(100+3P).
On simplifying;
100+3P = 200+2P,
GIVING
P = 100.
Ashish said:
1 decade ago
Profit = s.p - c.p ---(1)
3(profit)=2s.p - c.p ---(2)
-----------------------
solving equ 1 nd 2... we get
s.p = 2(profit) ---- (3)
substitute equ (3) in equ (1)... we get
c.p = profit ---- (4)
using (3) nd (4) if c.p=1 then s.p=2 and profit=1
hence, profit% = (profit/c.p)*100 = 100%
3(profit)=2s.p - c.p ---(2)
-----------------------
solving equ 1 nd 2... we get
s.p = 2(profit) ---- (3)
substitute equ (3) in equ (1)... we get
c.p = profit ---- (4)
using (3) nd (4) if c.p=1 then s.p=2 and profit=1
hence, profit% = (profit/c.p)*100 = 100%
Parth Raval said:
8 years ago
let profit=p.
s.p.=x.
c.p.=y.
Profit=s.p.-c.p.=x-y
Now profit triple and s.p. double means,
3p=2x-y
but p=x-y ,put in equation
3(x-y)=2x-y
x=2y , we got
profit p=x-y,
p=2y-y=y (x=2y).
Now, profit %= (gain*100)/c.p.
profit %=(y*100)/y (gain p=y, c.p.=y).
profit%=100%.
s.p.=x.
c.p.=y.
Profit=s.p.-c.p.=x-y
Now profit triple and s.p. double means,
3p=2x-y
but p=x-y ,put in equation
3(x-y)=2x-y
x=2y , we got
profit p=x-y,
p=2y-y=y (x=2y).
Now, profit %= (gain*100)/c.p.
profit %=(y*100)/y (gain p=y, c.p.=y).
profit%=100%.
Awdhesh said:
1 decade ago
s-c=p....1.
Now 2s-c = 3p....2.
Solve this.
s = 2p....3.
So c=p.....4.
Now as asked that when sp is 2 times then calculate pf percentage.
So (2s-c/c)*100 = pf percent.
So put value in terms of p.
2s = 4p.....from....3.
So (4p-p)/p)*100 = pf percentage.
So pf percentage 300.
Now 2s-c = 3p....2.
Solve this.
s = 2p....3.
So c=p.....4.
Now as asked that when sp is 2 times then calculate pf percentage.
So (2s-c/c)*100 = pf percent.
So put value in terms of p.
2s = 4p.....from....3.
So (4p-p)/p)*100 = pf percentage.
So pf percentage 300.
Roshan said:
10 years ago
Its very simple.
C.P = x.
S.P = 2y.
Profit =3x.
3x.
(2y-x).
But 2y = S.P = C.P + Profit = x + 3x.
Now + we will solve + 3x.
------- * 100.
x+3x-x.
Left hand portion will cut all and remain 100.
Ya its hard but not that much only use + logic + hope + so you will get this.
C.P = x.
S.P = 2y.
Profit =3x.
3x.
(2y-x).
But 2y = S.P = C.P + Profit = x + 3x.
Now + we will solve + 3x.
------- * 100.
x+3x-x.
Left hand portion will cut all and remain 100.
Ya its hard but not that much only use + logic + hope + so you will get this.
Ranji said:
10 years ago
They have said that if SP is doubled Profit becomes 3 times.
Let CP = X, & SP = Y.
As per the condition 2Y = 3(Y-X) ----------- (1).
Therefore, SP-CP = Profit.
2Y-CP = 3(Y-X).
CP = 3X-Y.
Put this in formula.
[2Y-3(Y-X)/3X-Y]*100.
3X-Y.
----- *100.
3X-Y.
= 100%.
Let CP = X, & SP = Y.
As per the condition 2Y = 3(Y-X) ----------- (1).
Therefore, SP-CP = Profit.
2Y-CP = 3(Y-X).
CP = 3X-Y.
Put this in formula.
[2Y-3(Y-X)/3X-Y]*100.
3X-Y.
----- *100.
3X-Y.
= 100%.
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