Aptitude - Profit and Loss - Discussion

20C=XS
S/c = 20/x = 5/4.
(Given-25%=+1/4profit=1+4/4=5/4).
5-parts20=5*4 =20 ,then x-4parts = 4 * 4 = 16.
Therefore the answer is 16.

Let C.P of 20 articles=Rs. 100= S.P of 20 articles.
Gain %= 25%.
Therefore s.p of 20 articles= Rs. 125.
Hence S.P of 1 article = Rs. 125/20.
Thus S.P of x articles = 100 = (125/20) * x.
Which gives x = 2000/125= 16 Answer.

Then after 25% gain selling price of 20 articles is 2500
Then the selling price of 1 article is 2500/20 = 125.
So according to the question:

The Selling price of x article is equal to the cost price of 20 article.
Hence 125x = 2000.
X = 2000/125 = 16,
Hence the value of x is 16.

Right, thanks for the answer @Chetan.

Here you can also slove in the following way.

Articales left = 20 - x.
Sold articales = x.
The Profit percentage = (articles left / sold articles) X 100.
25 = (( 20-x )/x) X 100.
And x = 16.

20*cp = x*sp.
assume cp = 100 and;
sp = profit + cp = 25 + 100 = 125.

Therefore above equation becomes,
20 * 100 = x * 125.
x = 16.

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.

@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.

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,

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.