Aptitude - Profit and Loss - Discussion

Given:

Profit =25%=125%
CP of 20=SP of x
CP*20=SP*X
CP/SP=X/20
CP=20;
SP=X;
In percentage method,
CP = 100% always assume.
100%=x ------>1.
125%=20 ------>2.
Cross multiply or divide the eqn 1 & 2.
Then you will get, x=16.

From the above question:

20 articles cost price=selling price of x articles so,
20*c.p = s.p*x ----> (1)
s.p=c.p+profit ----> (2).

Given profit=25%=>1/4 on the cost price.
from equation 2.
20*c.p=(c.p+1/4(c.p))x;
20 c.p=5/4 c.p*x,
x = 16,

@All.

According to me, the solution is;

CP of 20 articles = SP of x articles.
Profit = 25%.
---> SP = 125% * CP = 1.25 * CP.
---> CP*20 = 1.25*CP*x.
---> 20 = 1.25*x.
---> x = 20/1.25 = 16.

CP of 20 articles= SP of X atricles -->(1).

Let us assume the cost price of each article is 1 rupee.so total cost price for 20 articles is 20 * 1 = 20 rupees.

And the given profit is 25%. So for each we article will get a 25% profit on the cost price
so we will sell each article at 1.25 rupee.

So, now we need to multiply this 1.25 rupee to equal it to 20 rupees(because of given equation (1)) and the number with which we multiply 1.25 is the answer.

1.25*16 = 20.

So, 16 is the answer.

Hope this is clear.

Let's do it simple way.

Let's assume CP=x and SP=y
First-line says;

20CP=NSP
Let's substitute CP and SP values and we get,
20x=Ny ----- (i) This is our first equation

The second part of the question says;
Profit%=25%.
and we know that Profit%=[(SP-CP) X 100]/CP.
by substituting values we get,
25=[(y-x) X 100]/x.
upon solving we get,
x=(4/5)y ---(ii) this is our equation 2.

by substituting equation (ii) in equation (i) we get,
Ny=20 X (4/5)y.
N=16 -- Hence 16 is our answer.

Cp sp profit=25%(fraction value=1/4)

x :20 means cp=4unit & profit = 1unit.
Then sp=5 unit.
Now 5 unit=20 then 4 unit = 16,
Therefore X = 16.

S.P of x Articles = C.P of 20 Articles.

[As C.P of each article is taken as Re. 1].

Therefore, C.P of 20 Articles = Rs. 20.
Therefore, S. P of x Articles = Rs. 20.

25% = 1 ÷ 5 =
ie,cp = 4
Sp = 5.

1rs = 1article or 20rs sp so
Sp is nt 5.

Now make sp 20,
Sp=5*4,
So cp also 4*4=16,
Now 1article1rs.
Therefore 16articles =16rs.
So no of articles ie x =16.

What if we take cp of 20 articles = rs 100,
then sp of x articles become =rs 100,
and let cp of x articles be =rs x,
Then,
(100 - x/x) * 100 = 25,
which gives x = 80.

First of all, understand that
Let suppose the c.p of 1 article is 1vs
Then the cost of x article is x rd.
And s.p of x article is equal to 20*1
Which is 20,
And it's given 25%profit which means
25=20-x/x *100,
Then x=16.