Aptitude - Profit and Loss - Discussion
Discussion Forum : Profit and Loss - General Questions (Q.No. 6)
6.
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Answer: Option
Explanation:
Let C.P. be Rs. x.
| Then, | 1920 - x | x 100 = | x - 1280 | x 100 |
| x | x |
1920 - x = x - 1280
2x = 3200
x = 1600
 Required S.P. = 125% of Rs. 1600 = Rs. |
 |
125 | x 1600 |  |
= Rs 2000. |
| 100 |
Video Explanation: https://youtu.be/0tTd5TwCspY
Discussion:
93 comments Page 3 of 10.
Govinda said:
6 years ago
Let c.p=x.
p=1920-x.
l=x-1280.
As we know p% = l%.
1920-x=x-1280.
x=1600.
to get profit 25%.
1600+1600*25%.
----->2000.
p=1920-x.
l=x-1280.
As we know p% = l%.
1920-x=x-1280.
x=1600.
to get profit 25%.
1600+1600*25%.
----->2000.
Ameer said:
6 years ago
Thanks @Shubham Singh.
Shubham singh said:
7 years ago
So in this question Sp is given;
Sp=1920
Sp=1280
Now as per the given question:
percentage profit=percentage loss;
Sp - profit= Sp + loss.
1920-x=1280+x,
2 x=640,
x=320.
And now we have to find Sp at which article was sold.
Sp= (100+(p)%)/100) * C p.
For this we have to find Cp.
C p= Sp - profit.
= 1920-320,
= 1600.
Now we put this CP in to the above formula:
= ((100+25)/100) * 1600.
= (125/100) * 1600,
= 2000.
Sp=1920
Sp=1280
Now as per the given question:
percentage profit=percentage loss;
Sp - profit= Sp + loss.
1920-x=1280+x,
2 x=640,
x=320.
And now we have to find Sp at which article was sold.
Sp= (100+(p)%)/100) * C p.
For this we have to find Cp.
C p= Sp - profit.
= 1920-320,
= 1600.
Now we put this CP in to the above formula:
= ((100+25)/100) * 1600.
= (125/100) * 1600,
= 2000.
Harsh said:
7 years ago
Earned profit on selling at 1920 = beared loss on sold at 1280.
There sum= 1920+1280=3200,
So the base price is with no profit no loss=3200/2=1600,
To make a profit of 25% on 1600=1600*25/100=400,
So total =1600+400=rs 2000.
There sum= 1920+1280=3200,
So the base price is with no profit no loss=3200/2=1600,
To make a profit of 25% on 1600=1600*25/100=400,
So total =1600+400=rs 2000.
Sheik abdullah said:
7 years ago
Please explain the last step.
Twin nepal said:
7 years ago
X%=1920-y)*100/y ---> (1)
X%=(y-1680)*100/y ---> (2)
Were x=profit and loss %.
And y=CP.
ACC qu (1)=(2).
So we get CP y=1600.
Then SP = y+y of 25%===2000.
X%=(y-1680)*100/y ---> (2)
Were x=profit and loss %.
And y=CP.
ACC qu (1)=(2).
So we get CP y=1600.
Then SP = y+y of 25%===2000.
PVR said:
7 years ago
(1920+1280)/2 = 1600.
For 1600 25% is 400.
So 1600+400 = 2000.
For 1600 25% is 400.
So 1600+400 = 2000.
Sam said:
7 years ago
1920-1280 = 640.
640/2 = 320.
1280+320 = 1600.
1600*(25/100) = 400.
1600+400 = 2000.
640/2 = 320.
1280+320 = 1600.
1600*(25/100) = 400.
1600+400 = 2000.
AKASH CHAKRABORTTY said:
7 years ago
let, x=profit.
The percentage is always calculated base upon the cost price.
so, 1920-x=1280+x,
x=320.
cost price=1280+320=1600,
Gain = 25*1600/100= 400.
SP for Gain 25% is CP+gain = 1600+400= 2000.
The percentage is always calculated base upon the cost price.
so, 1920-x=1280+x,
x=320.
cost price=1280+320=1600,
Gain = 25*1600/100= 400.
SP for Gain 25% is CP+gain = 1600+400= 2000.
Mr Pankaj said:
7 years ago
Simple method :
SP:1920 at Gain of x
SP: 1280 at loss of x
Gain = (1920-1280)/2
= 320
CP : 1920-320 = 1600
Now,
Gain is 25%
25= Gain*100/CP
Therefore
Gain = 25*1600/100= 400.
SP for Gain 25% is CP+gain = 1600+400= 2000.
SP:1920 at Gain of x
SP: 1280 at loss of x
Gain = (1920-1280)/2
= 320
CP : 1920-320 = 1600
Now,
Gain is 25%
25= Gain*100/CP
Therefore
Gain = 25*1600/100= 400.
SP for Gain 25% is CP+gain = 1600+400= 2000.
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