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 10 of 10.
Vikash kumar sharma said:
1 decade ago
profit=loss=x
sp1=1920
sp2=1280
sp-profit=sp+less
1920-X=1280+x
2x=640
x=320
cp=sp-profit
=1920-320=1600
new sp=1600*125/100
=2000
sp1=1920
sp2=1280
sp-profit=sp+less
1920-X=1280+x
2x=640
x=320
cp=sp-profit
=1920-320=1600
new sp=1600*125/100
=2000
Kavi said:
1 decade ago
@kumar::
In the first case, by selling d article we get profit.so,the formula for gain=s.p-c.p
here we consider c.p as 'x'(cos its not gvn in quest)
therefore gain=1920-x
gain%=gain*100/(c.p)
so we get, gain%=(1920-x)*100/(x)
In the second case, by selling the product we get loss. so,the formula for loss= c.p-s.p
as we know, c.p=x(assumption)
s.p=1280
loss=x-1280
we need to find loss% here.. the formula is
loss%=loss*100/(c.p)
so we get, loss%=(x-1280)*100/(x)
as both the articles are same products we are equating both.
(1920-x)*100/(x)=(x-1280)*100/(x)
1920 - x = x - 1280
2x = 3200
x = 1600
hope you understood..! happy day!!
In the first case, by selling d article we get profit.so,the formula for gain=s.p-c.p
here we consider c.p as 'x'(cos its not gvn in quest)
therefore gain=1920-x
gain%=gain*100/(c.p)
so we get, gain%=(1920-x)*100/(x)
In the second case, by selling the product we get loss. so,the formula for loss= c.p-s.p
as we know, c.p=x(assumption)
s.p=1280
loss=x-1280
we need to find loss% here.. the formula is
loss%=loss*100/(c.p)
so we get, loss%=(x-1280)*100/(x)
as both the articles are same products we are equating both.
(1920-x)*100/(x)=(x-1280)*100/(x)
1920 - x = x - 1280
2x = 3200
x = 1600
hope you understood..! happy day!!
(1)
Kumar said:
1 decade ago
How the x value is find?
Raj said:
1 decade ago
@sunitha: do the step untill x=1600, then you can calculate 25% profit for cp 1600, if you calculate then you get Rs-400 then add that with 1600, you will get Rs-2000 (1600+400) because they ask overall amount for 25% so they calculate 125% (100+25).
Sunitha said:
2 decades ago
What formula is used and in question it is 25% in answer it is shown as 125% please explain
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