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:
95 comments Page 4 of 10.
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:
8 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.
Priyanka said:
8 years ago
Explain ((1920-x)/x)*100 = ((x-1280/x)*100.
Abhay said:
8 years ago
@Buk.
Just eliminate the denominator x and the 100 you will get this result.
1920-x=x-1280 then you will able to get it.
Just eliminate the denominator x and the 100 you will get this result.
1920-x=x-1280 then you will able to get it.
Buk said:
8 years ago
Please simplify.
1920-x/x*100=x-1280/x*100.
1920-x/x*100=x-1280/x*100.
Jyothsna said:
8 years ago
When we should assume CP as some numeric value and as unknown value like 'x'.
Sindhu said:
8 years ago
Loss, = (s.p- c.p( loss)/ c.p) * 100.
Manoj said:
8 years ago
Loss percentage means (loss/s.p)*100 but in solution you took (loss/c.p)*100 how come?
Please explain.
Please explain.
Sameer sopori said:
8 years ago
(1920+1280)/2 = 1600,
(1600/100) * 25% = 400,
1600+400 = 2000.
(1600/100) * 25% = 400,
1600+400 = 2000.
Sai Reddy said:
8 years ago
Profit=sp-cp=>1920-cp.
Loss=cp-sp=>cp-1280.
Profit percentage = loss percentage(given).
1920-cp = cp-1280,
cp = 1600,
25% of cp = 400.
Therefore, sp=1600 + 400 = 2000.
Loss=cp-sp=>cp-1280.
Profit percentage = loss percentage(given).
1920-cp = cp-1280,
cp = 1600,
25% of cp = 400.
Therefore, sp=1600 + 400 = 2000.
(1)
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