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?
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 5 of 10.

Srinivas said:   1 decade ago
1920+1280 = 3200.

3200/2 = 1600.

C.P of each item is 1600.

Then,

If 1600-----100%

Then X------125%

X = 1600*125/100.

X = 2000;

Shahid said:   1 decade ago
Let CP = x.
Profit = SP-CP = 1920-x.
Loss = CP-SP = x-1280.
Then CP = 1600/-
SP = CP*((100+profit)/100).
SP = 1600*1.25.
SP = 2000/-

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.

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.

Senchu Thomas said:   9 years ago
1920-x = 1280+x.

2x = 640.
x = 640/2.
x = 320.

CP = 1920-320 = 1600.

To get 25% profit 125%1600.

1600/100*125 = 2000.

Subhojit said:   5 years ago
CP = (1920 + 1280)/2.
= 1600.

SP = (CP+profit).
= [1600 + {1600*(25/100)}],
= 1600 + 400,
= 2000.
(3)

Vijay said:   1 decade ago
Avg of 2 articles is((1920+1280)/2)=1600.

Then 25% of 1600 is 400. ie,

(25/100)*1600=400.

Then 1600+400=2000.

Ankur said:   1 decade ago
Simply bring difference of 1950-1280 = 640/2 = 320

320 add in 1280 = 1600 *25% = 2000 Rs. Selling Price.

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.

Perveen kumar said:   1 decade ago
Add sp1(profit) - sp2(loss)/2.

i.e. 1950-1280/2 = 640/2 = 320.

Add in 1280 = 1600*25%= 2000 answer.


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