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Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - General Questions (Q.No. 6)
Profit and Loss
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?
Rs. 2000
Rs. 2200
Rs. 2400
Data inadequate
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.
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.
Buk said:   8 years ago
Please simplify.

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.
Sameer sopori said:   8 years ago
(1920+1280)/2 = 1600,
(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.
(1)
Amit Rai said:   8 years ago
No, how do you solve question, please. Explain with the answer.
Shubham said:   8 years ago
The loss is incurred soo [1920+1280]/2 =1600,
Then 1600 * 0.25 = 400,
1600+400 = 2000.
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