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 4 of 10.
Prajakta said:
9 years ago
Thanks @Aamir.
MGNVPrasad said:
9 years ago
No need to worry, first understand the question carefully,given only selling prices,not given cost prices,first we find cost price.
From selling price 1280 .
I find out the cost price.see profit is 25%.
C.p = 1600 [10% of 1280 = 128,
5%=64, 10% + 10% + 10% = 25%,
i.e128 + 128 + 64 = 320.
Add 1280 + 320 = 1600(or) 1920 - 320=1600
Now S.p = 1600 * 125/100 = 2000.
[To get 25% out of 1600 is 125 . profit add 100, 100 + 25 = 125, loss subtract from 100, 100 - 25 = 75].
From selling price 1280 .
I find out the cost price.see profit is 25%.
C.p = 1600 [10% of 1280 = 128,
5%=64, 10% + 10% + 10% = 25%,
i.e128 + 128 + 64 = 320.
Add 1280 + 320 = 1600(or) 1920 - 320=1600
Now S.p = 1600 * 125/100 = 2000.
[To get 25% out of 1600 is 125 . profit add 100, 100 + 25 = 125, loss subtract from 100, 100 - 25 = 75].
Dinesh said:
9 years ago
Why should we add 1600?
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.
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.
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.
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.
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.
Sheik abdullah said:
7 years ago
Please explain the last step.
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.
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