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 18 of 36.

Sadee said:   1 decade ago
C.P*20 = S.P*x.
x = C.P*20/S.P.

Gain% = gain/C.P = S.P-C.P/C.P = S.P/C.P-1.

25% = 1/4 = S.P/C.P-1.
C.P/S.P = 4/5.

x = 20*4/5 = 16.

Aishu said:   6 years ago
Let C.P of 20 articles be 20rs.
Then S.P of x articles =20rs.
P%=25 (given).
C.P= (100/ (100+p%) ) *S.P.
= (100/ (100+25) ) *20.
=16.

Sriram Praksh said:   10 years ago
Shortcut method:

20 C.P = X S.P.

C.P/S.P = X/20.

Profit 25% --> 125.

So that 125---> 25 means.

100---> ?

Answer = 16.

Siddhesh Mhatre said:   5 years ago
20*cp = x*sp.
assume cp = 100 and;
sp = profit + cp = 25 + 100 = 125.

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

Vinay sharma said:   1 decade ago
Let the cost price of one article=Rs 100
profit=25%
SP =100+25=125
NOW
CP of 20 article =SP of X article
20 * 100 = 125 * X
X =16

Err said:   2 years ago
20 C. P = x S. P.
C.P = x/20 SP--->(1)
Gain = 25%.
S. P = 125% of CP.
S. P= 125/100 * CP.
Substitute CP value as (1)
x = 16.
(115)

Ravi said:   1 decade ago
Please help me to solve this equation.

(20 - x)/x*100 = 25.
2000 - 100 x = 25 x.
125 x = 2000.

How we get 25x in first step?

Subham said:   10 years ago
25% = 1/4.

Out of 5 articles 4 articles sold and 1 is profit.

What about 20 (4 times of 5)?

5 = 4+1.
4 times so, 20 = 16+4.

Debarati said:   3 years ago
CP of 20= SP of x
sp/cp = 20/x.
sp-cp/cp = 20-x/x.
profit percentage = 25%.
Therefore,25/100 = 20-x/x.
Solving we get x = 16.
(6)

Radhakrishnan N said:   7 years ago
Cost = Rs 100 For 20=Rs2000,
Sale price of x articles= Rs 2000,
Profit 25% sale price Rs125,
125x = Rs 2000,
X= 2000/125= 16.


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