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 5 of 36.
Arotorres said:
4 years ago
20 * C.P = x * S.P ---> (1)
S,P = 1C.P + 0.25 * C.P
S.P = 1.25CP ---> (2).
From (1)
20 * C.P = x * 1.25 * C.P.
c.p gets cancelled;
20/1.25 = x.
x = 16.
S,P = 1C.P + 0.25 * C.P
S.P = 1.25CP ---> (2).
From (1)
20 * C.P = x * 1.25 * C.P.
c.p gets cancelled;
20/1.25 = x.
x = 16.
Aksh sharma said:
4 years ago
Cp of 20 articles = SP of x article.
It means cp = x , Sp = 20.
By formula profit % = (sp - cp) 100/cp.
Therefore. Profit % = Profit % ( for comparing),
(20- x)100/x = 25,
By solving x = 16.
It means cp = x , Sp = 20.
By formula profit % = (sp - cp) 100/cp.
Therefore. Profit % = Profit % ( for comparing),
(20- x)100/x = 25,
By solving x = 16.
Shambhu singh said:
4 years ago
Cp of 20 articles = sp of x article.
Cp of 1 artical = sp of x/20 article,
25% frofit.
Cp 1 article is = x/20+25%of x/20.
1= 5x/80.
X=16.
Cp of 1 artical = sp of x/20 article,
25% frofit.
Cp 1 article is = x/20+25%of x/20.
1= 5x/80.
X=16.
Rhushikesh shirke said:
4 years ago
Good explanation, thanks @Sanjeet Kumar.
Elvina said:
4 years ago
20cp= xsp ---> (1)
Therefore sp= 20cp/x.
profit%= (profit/cp)100= (sp-cp)100
25=( sp-cp)100
Now substitute the value of sp or cp from (1).
25 = (20cp/x - cp)/cp multiplied by 100,
cp will get cancelled and then solve for x to get 16.
Therefore sp= 20cp/x.
profit%= (profit/cp)100= (sp-cp)100
25=( sp-cp)100
Now substitute the value of sp or cp from (1).
25 = (20cp/x - cp)/cp multiplied by 100,
cp will get cancelled and then solve for x to get 16.
Hanisha said:
4 years ago
Awesome and easy solution @Imraz.
Somu said:
4 years ago
Cp of 1 article is Rs. 1 so 20 articles cp is Rs. 20.
Given 25%profit that means on 1 article there is 25% profit so profit is 0.25 on one article then sp of one article is cp + profit = Rs 1.25.
Cp 20 = here we want 20 for how many articles it becomes Rs. 20 @ sp is Rs 1.25 for 4 articles it is 5 so that Rs. 20, 16 articles.
Given 25%profit that means on 1 article there is 25% profit so profit is 0.25 on one article then sp of one article is cp + profit = Rs 1.25.
Cp 20 = here we want 20 for how many articles it becomes Rs. 20 @ sp is Rs 1.25 for 4 articles it is 5 so that Rs. 20, 16 articles.
(1)
Ak said:
4 years ago
First of all, understand that
Let suppose the c.p of 1 article is 1vs
Then the cost of x article is x rd.
And s.p of x article is equal to 20*1
Which is 20,
And it's given 25%profit which means
25=20-x/x *100,
Then x=16.
Let suppose the c.p of 1 article is 1vs
Then the cost of x article is x rd.
And s.p of x article is equal to 20*1
Which is 20,
And it's given 25%profit which means
25=20-x/x *100,
Then x=16.
Dhanushree Shetty said:
4 years ago
100+25%=125
20. ?.
Cross multiply you will get it as 20*125/100;
= 16.
20. ?.
Cross multiply you will get it as 20*125/100;
= 16.
Vikash said:
4 years ago
What if we take cp of 20 articles = rs 100,
then sp of x articles become =rs 100,
and let cp of x articles be =rs x,
Then,
(100 - x/x) * 100 = 25,
which gives x = 80.
then sp of x articles become =rs 100,
and let cp of x articles be =rs x,
Then,
(100 - x/x) * 100 = 25,
which gives x = 80.
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