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:
361 comments Page 4 of 37.

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)

Vishal thakur said:   4 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.
(10)

Ashutosh Khadka said:   4 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.
(154)

John britto said:   4 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%.
(7)

Rahul T. said:   4 years ago
@Shahil Shaji.

Nice explanation keep rocking. Thanks.
(3)

Kavya said:   4 years ago
@Shahil Shaji.

Nice explanation keep rocking. Thanks.

Shahul Shaji said:   4 years ago
20 CP = x SP.
SP = (20/x) CP,
Profit = 25% = 125/100,
125/100 = 20/x,
x = 16.
(38)

Surbhi garg said:   4 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.
(66)

VATHSA said:   4 years ago
Why do we have to assume that CP is Rs. 1?

Cant we solve using equations?
(2)

Debarati said:   4 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)


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