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:
354 comments Page 3 of 36.
Arr soubhagya said:
2 years ago
Thanks for your answer @Surbhi Garg.
(3)
Karen said:
2 years ago
CP * 20 = SP * x
SP = CP * 20/x.
Given, profit%=25%.
we know, SP = (100+25)%*CP.
also as found, SP=CP*20/x.
Therefore we can say,
(100+25)% * CP = CP *20/x [cp can be cancelled on both sides]
100+25/100 = 20,
125/100 = 20/x.
Cross multiply;
125x = 2000
x = 2000/125,
x = 16.
SP = CP * 20/x.
Given, profit%=25%.
we know, SP = (100+25)%*CP.
also as found, SP=CP*20/x.
Therefore we can say,
(100+25)% * CP = CP *20/x [cp can be cancelled on both sides]
100+25/100 = 20,
125/100 = 20/x.
Cross multiply;
125x = 2000
x = 2000/125,
x = 16.
(28)
Vishal said:
2 years ago
25 % profit means 1/4.
20 cp = xsp.
sp/cp = 20/x.
So by formula;
1/4 = sp/cp - cp/cp.
5/4 = 20/x.
5x = 80.
x = 16.
20 cp = xsp.
sp/cp = 20/x.
So by formula;
1/4 = sp/cp - cp/cp.
5/4 = 20/x.
5x = 80.
x = 16.
(40)
Vishal ranaut said:
2 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)
Vishal thakur said:
2 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)
Ashutosh Khadka said:
3 years ago
Here is logical method:
25% means 1/4.
Now find the number which is directly divided by 4 in the option.
There is only one option which is directly divided by 4.
Therefore Option is (B) 16.
25% means 1/4.
Now find the number which is directly divided by 4 in the option.
There is only one option which is directly divided by 4.
Therefore Option is (B) 16.
(152)
John britto said:
3 years ago
If c.p of an article is 4 and s.p of an article is 5.
c.p of articles is equal to s.p of 16 article;
So,20*4=16*5=80.
s.p of 20 article is 20*5 = 100.
c.p of 20 article is 20*4 = 80.
Profit is 20.
20/80 *100=25%.
c.p of articles is equal to s.p of 16 article;
So,20*4=16*5=80.
s.p of 20 article is 20*5 = 100.
c.p of 20 article is 20*4 = 80.
Profit is 20.
20/80 *100=25%.
(7)
Rahul T. said:
3 years ago
@Shahil Shaji.
Nice explanation keep rocking. Thanks.
Nice explanation keep rocking. Thanks.
(3)
Kavya said:
3 years ago
@Shahil Shaji.
Nice explanation keep rocking. Thanks.
Nice explanation keep rocking. Thanks.
Shahul Shaji said:
3 years ago
20 CP = x SP.
SP = (20/x) CP,
Profit = 25% = 125/100,
125/100 = 20/x,
x = 16.
SP = (20/x) CP,
Profit = 25% = 125/100,
125/100 = 20/x,
x = 16.
(38)
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