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:
353 comments Page 33 of 36.
Dhanu said:
3 years ago
Selling Price of X article is 20 and, we have to find C.P. of this X article.
It can be calculated by using the formula of C.P. which is given below;
C.P. = 100/(100+Gain%) * S.P.
So, let C.P. be X.. And by given data Gain % = 25, and S.P. of X article = 20 putting this values we get,
X(c.p) = 100/(100+25) * 20(s.p).
X= (100/125) * 20,
= 0.8 * 20,
= 16.
It can be calculated by using the formula of C.P. which is given below;
C.P. = 100/(100+Gain%) * S.P.
So, let C.P. be X.. And by given data Gain % = 25, and S.P. of X article = 20 putting this values we get,
X(c.p) = 100/(100+25) * 20(s.p).
X= (100/125) * 20,
= 0.8 * 20,
= 16.
(3)
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.
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)
VATHSA said:
3 years ago
Why do we have to assume that CP is Rs. 1?
Cant we solve using equations?
Cant we solve using equations?
(2)
Surbhi garg said:
3 years ago
CP of 20 articles = SP of x article.
Profit% = 25.
Let's CP = 100rs.
SP = 125.
CP of 20 articles = SP of x article.
20*100 = 125 * x.
x =2000/125,
x=16.
Profit% = 25.
Let's CP = 100rs.
SP = 125.
CP of 20 articles = SP of x article.
20*100 = 125 * x.
x =2000/125,
x=16.
(63)
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)
Kavya said:
3 years ago
@Shahil Shaji.
Nice explanation keep rocking. Thanks.
Nice explanation keep rocking. Thanks.
Rahul T. said:
3 years ago
@Shahil Shaji.
Nice explanation keep rocking. Thanks.
Nice explanation keep rocking. Thanks.
(3)
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)
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.
(150)
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)
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