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 2 of 10.
Siva mahesh said:
10 years ago
Hi @Vipul.
Here before solving you look at question carefully her the C.P is same because the article is same.
Case 1 case 2 S.P = 1280; L% = ?
Let it be x.
S.P = 1920 similarly by loss formula.
P% = ? Let it be x L% = (C.P-S.P)/C.P*100.
By formula P% = (S.P-C.P)/C.P*100.
Case 1 and case 2 equate X we get 2x = 1920+1280 and x = 1600.
And now C.P = 1600 to earn 25% gain calculate S.P.
Here before solving you look at question carefully her the C.P is same because the article is same.
Case 1 case 2 S.P = 1280; L% = ?
Let it be x.
S.P = 1920 similarly by loss formula.
P% = ? Let it be x L% = (C.P-S.P)/C.P*100.
By formula P% = (S.P-C.P)/C.P*100.
Case 1 and case 2 equate X we get 2x = 1920+1280 and x = 1600.
And now C.P = 1600 to earn 25% gain calculate S.P.
Raghavendra said:
1 decade ago
It'll be easy if we calculate the cost price first. Its given that percentage profit made is equal to percentage loss. Then even the amount lost on one sale(1280) will be equal to amount gained on another(1920).
Cost price will be middle of this two numbers i.e. Rs.1600.
If cost price is Rs.1600, in order to make 25% profit it should be sold at Rs.2000.
Cost price will be middle of this two numbers i.e. Rs.1600.
If cost price is Rs.1600, in order to make 25% profit it should be sold at Rs.2000.
Saifan said:
5 years ago
since profit(P) and loss(L) percentages are same:
=> P% = L% => P = L .
S.P for P% =1920 ; S.P for L% = 1280
=> 2P =2L = 1920 -1280 = 640
=> P = L = 320
Therefore C.P = S.P(p) - P = S.P(l) + L = 1600
new selling price for 25% profit will be
S.P = ((100 + P) / 100) * C.P = ((100 + 25) / 100) * 1600
= 125/100 * 1600
= 2000
=> P% = L% => P = L .
S.P for P% =1920 ; S.P for L% = 1280
=> 2P =2L = 1920 -1280 = 640
=> P = L = 320
Therefore C.P = S.P(p) - P = S.P(l) + L = 1600
new selling price for 25% profit will be
S.P = ((100 + P) / 100) * C.P = ((100 + 25) / 100) * 1600
= 125/100 * 1600
= 2000
(1)
Gowtham said:
1 decade ago
Hai guys simple method..........
Given sum is 2 selling price
-->first one is profit(sp1)
-->second one is loss(sp2)
so......
given profit & loss value
but.......
have no given the original price(x)
sp1-x=sp2+x
1920-x=1280+x
x=320
original price=sp1-x
so op=1600
then 25% profit
porofit=1600*1.25
=2000
That's all.
Given sum is 2 selling price
-->first one is profit(sp1)
-->second one is loss(sp2)
so......
given profit & loss value
but.......
have no given the original price(x)
sp1-x=sp2+x
1920-x=1280+x
x=320
original price=sp1-x
so op=1600
then 25% profit
porofit=1600*1.25
=2000
That's all.
Ajay shelake said:
1 decade ago
x is current.
Sp 1 = 1920.
Sp 2 = 1280.
1920-x = 1280+x profit = selling incurred same article.
1920-1280 = 2x.
640 = 2x.
640/2 = x.
320 = x.
So the percent profit by 1st article = 1920. So the price = 1920-320.
Price = 1600.
25% of 1600 = 1600*25/100 = 400.
The price make sold = 1600+400 = 2000.
Have a nice day!
Sp 1 = 1920.
Sp 2 = 1280.
1920-x = 1280+x profit = selling incurred same article.
1920-1280 = 2x.
640 = 2x.
640/2 = x.
320 = x.
So the percent profit by 1st article = 1920. So the price = 1920-320.
Price = 1600.
25% of 1600 = 1600*25/100 = 400.
The price make sold = 1600+400 = 2000.
Have a nice day!
Mohd Faiq said:
6 years ago
@All
We can also solve this method:
SP1= 1920 , SP2=1280.
let profit % = loss% = x.
CP1= 100*1920 /(100+x).
CP2= 100*1280 /(100-x).
CP1=CP2
100*1920 /(100+x) = 100*1280 /(100-x)
x=20 = profit% = loss%.
CP= 100*1920 /(100+20) [on putting the value of x].
CP=1600.
New SP= (100+25)*1600 / 100,
New SP=1600.
We can also solve this method:
SP1= 1920 , SP2=1280.
let profit % = loss% = x.
CP1= 100*1920 /(100+x).
CP2= 100*1280 /(100-x).
CP1=CP2
100*1920 /(100+x) = 100*1280 /(100-x)
x=20 = profit% = loss%.
CP= 100*1920 /(100+20) [on putting the value of x].
CP=1600.
New SP= (100+25)*1600 / 100,
New SP=1600.
Vinothini said:
1 decade ago
@Vinothini
Listen, no need to worry abt x an all..
We have one formulae:
Gain*100/c.p=loss*100/c.p
We obtain:
gain=loss
s.p-c.p=c.p-s.p
1920-c.p=c.p-1280=>3600=2c.p
c.p=1600;
For profit 20%,already profit 3200-1600=1600is there.
1600*20/100 = 400; profit=s.p-c.p= > s.p=1600+400 = 2000
Listen, no need to worry abt x an all..
We have one formulae:
Gain*100/c.p=loss*100/c.p
We obtain:
gain=loss
s.p-c.p=c.p-s.p
1920-c.p=c.p-1280=>3600=2c.p
c.p=1600;
For profit 20%,already profit 3200-1600=1600is there.
1600*20/100 = 400; profit=s.p-c.p= > s.p=1600+400 = 2000
Vijay said:
1 decade ago
I can tell in a easy way
here sp1=1980,sp2=1280
in question
profit of one article=loss of another article
sp1-cp=cp-sp2
1920-cp=cp-1280
2 cp=3200
cp=1600
and gain%=25
gain%=((sp-cp)/cp)*100
25=((sp-1600)/1600)*100
by solving
sp=400+1600
sp=2000
the article should sell with 2000 to get 25%
here sp1=1980,sp2=1280
in question
profit of one article=loss of another article
sp1-cp=cp-sp2
1920-cp=cp-1280
2 cp=3200
cp=1600
and gain%=25
gain%=((sp-cp)/cp)*100
25=((sp-1600)/1600)*100
by solving
sp=400+1600
sp=2000
the article should sell with 2000 to get 25%
Harshit kaushik said:
10 months ago
Let ;
cp = x.
sp for profit = 1920.
profit = 1920-x.
sp for loss = 1280.
loss = x - 1280.
atq-
(1920-x)=(x-1280).
further by solving x = 1600.
So sp = 1600.
Now for 25% gain 25% = 1/4.
25%of 1600 = 400.
Now sp for 25% gain.
= 1600 + 400 = 2000 answer.
cp = x.
sp for profit = 1920.
profit = 1920-x.
sp for loss = 1280.
loss = x - 1280.
atq-
(1920-x)=(x-1280).
further by solving x = 1600.
So sp = 1600.
Now for 25% gain 25% = 1/4.
25%of 1600 = 400.
Now sp for 25% gain.
= 1600 + 400 = 2000 answer.
(16)
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).
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