Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - General Questions (Q.No. 2)
2.
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
15
16
18
25
Answer: Option
Explanation:

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.

Profit = Rs. (20 - x).

20 - x x 100 = 25
x

2000 - 100x = 25x

125x = 2000

x = 16.

Video Explanation: https://youtu.be/sidqvjUoZxY

Discussion:
355 comments Page 13 of 36.

Neha said:   9 years ago
See,

CP of 1 article = 1 Rs,
Similarly CP of 20 articles = 20rs.
SP of x articles = 20 rs.
But 25x profit get on 20 Rs.
So,
125x = 20.
100x = ?

(100 * 20)/125 = 16.

So x = 16.

Naveen said:   1 decade ago
C.P of 20 articles = S.P of x articles.

C.P*20 = S.P*x -->eqn 1.

We know that S.P = [(100+gain%)/100]*C.P.

Gain% is given as 25.

Substituting this in eqn 1 we get x = 16.

RAVI PRAKASH said:   7 years ago
We have a direct formula. that can help to get the answer.

The selling price = (c.p * 100)/ (profit%) + 100
= (20*100)/ (25 + 100).
= 20*100 /(125) = 20*4/5.
= 4*4.
= 16.

Johir said:   1 decade ago
Let 20 article price = 20 RS.

.'. Selling price of x article = 20.
25% profit(means cost is 100 then sp 125).

If SP 125 then CP 100.
...... 20 ..... (100/125)*20 = 16.

Joy ghosh said:   1 decade ago
Let cost price of total =100.

Now cost price of one = 100/20=4.
Now sell price of one = 4*125/100=5.

Now we know c.p of 20 = s.p of X .
Then 20*4 = 5*X.

Or x= 16 answer.

Vishal ranaut said:   3 years ago
Most simple way;

Cp of 1 article = y.
Sp of 1 ariticle = 1.25y or 5/4 y.
Because of profit 25%(y+25/100y).
Cp of 20 article= sp of x articles.
20y = 5/4yx.
5x = 80
X = 16.
(15)

Usha said:   8 years ago
Ans: d.
By using the formula.
Sp=(100+gain%)*cp/100.
Here cp of 20 articles = sp of x articles.
So,
Cp of 1 article = sp of x/20 articles.
X/20=(100+25)*1/100,
=>x=25.

Jyotiranjans Senapati said:   7 years ago
Profit=(20-x).

How it is Possible ?
Profit Means;
For Example One Item Bay 2 Rupees, This Item sell 4 Rupees.
Then Profit 2 Rupees.
Profit How To Calculated.
= Sp-Cp.

Manoj said:   4 years ago
Let c.p of 1article=1Rupee.

Formula;
s.p=((100+g%)/100)*c.p.
s.p=((100+25)/100)*1=>1.25,
1aticle's s.p is=1.25,
1.25*16=20.

So 16 articles s.p is equal to c.p of 20.

Jacky said:   1 decade ago
Sanjeet kumar gives the nice explanation.

which is easly understandable.
thanks frnd.
if 25% profit given u can take the example of c.p is 4 and s.p is 5.
20*4=x*5
x=16


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