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:
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:
357 comments Page 3 of 36.
Kalyani said:
1 year ago
Let us assume c.p of one article = rs.1.
c.p of x articles = x,
s.p of x articles = c.p of 20 articles = 20,
profit = s.p-c.p = 20-x.
profit% = 25%.
profit% = (profit/c.p )* 100.
25 = (20-x/x )*100.
25x = 2000-100x.
2000 = 125x.
x=16.
c.p of x articles = x,
s.p of x articles = c.p of 20 articles = 20,
profit = s.p-c.p = 20-x.
profit% = 25%.
profit% = (profit/c.p )* 100.
25 = (20-x/x )*100.
25x = 2000-100x.
2000 = 125x.
x=16.
(18)
Banusuvarna said:
6 months ago
I do not understand the answer. Anyone, please explain to me.
(16)
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.
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)
Alanyo Jackline said:
2 years ago
I am not getting how this 5/4 came. Anyone, please explain to me.
(14)
Shubham jaiswal said:
1 year ago
Given:
20cp = x sp.
20cp = 125% cp * x (because profit is 25 %).
20cp = 5/4 cp * x.
20 x 4/5 = x.
16 = cp.
20cp = x sp.
20cp = 125% cp * x (because profit is 25 %).
20cp = 5/4 cp * x.
20 x 4/5 = x.
16 = cp.
(13)
Sree said:
11 months ago
Deriving formula:
S.P = [100 + gain% / 100 ] x C.P.
S.P is x.
C.P is 20x, so one CP is x/20,
x = 125/100 x (x/20),
x = 125x/2000,
2000x = 125x,
= 16.
S.P = [100 + gain% / 100 ] x C.P.
S.P is x.
C.P is 20x, so one CP is x/20,
x = 125/100 x (x/20),
x = 125x/2000,
2000x = 125x,
= 16.
(13)
Vishal thakur said:
3 years ago
Let Cp of 1 article = y
Then Cp of 20 article = 20y = sp of x article(from cp of 20 articles same as sp of x article)
Now cp of x articles = xy.
Gain = sp of x articles - cp of x articles.
Now profit = gain/cp of x article*100
25=20y-xy/xy * 100.
By solving 5xy/4 = 20y
then 5x =80.
X = 16.
Then Cp of 20 article = 20y = sp of x article(from cp of 20 articles same as sp of x article)
Now cp of x articles = xy.
Gain = sp of x articles - cp of x articles.
Now profit = gain/cp of x article*100
25=20y-xy/xy * 100.
By solving 5xy/4 = 20y
then 5x =80.
X = 16.
(10)
Rakesh said:
2 years ago
Simply using the formula:
SP = 100 + profit × CP/100.
CP : SP.
X: 20.
Simply putting the value you will get the 16 as answer.
SP = 100 + profit × CP/100.
CP : SP.
X: 20.
Simply putting the value you will get the 16 as answer.
(10)
Abir Saha said:
8 months ago
In ratio method,
20 c.p = x s.p
or,c.p:s.p = x:20
or, 20-x/x = 25/100
And solution is 16 RS.
20 c.p = x s.p
or,c.p:s.p = x:20
or, 20-x/x = 25/100
And solution is 16 RS.
(10)
Madhuri said:
3 months ago
CP = always 100%.
cp + sp = 125.
20 × 1000/125.
= 16.
cp + sp = 125.
20 × 1000/125.
= 16.
(9)
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