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 16 of 36.
Reepen dhital said:
1 decade ago
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).
Then,
25% of x = 20-x.
25x/100 = 20-x.
25x = 2000-100x.
125x = 2000.
i.e x = 15.
S.P. of x articles = Rs. 20.
Profit = Rs. (20-x).
Then,
25% of x = 20-x.
25x/100 = 20-x.
25x = 2000-100x.
125x = 2000.
i.e x = 15.
Vibin joy said:
1 decade ago
Let CP = a; SP = b;
Then 20a = bx;
Given profit % = 25;
So, b-a/a = 1/4;
Then 5a = 4b;
Compare this with 20a = bx;
Ans = x = 16;
Then 20a = bx;
Given profit % = 25;
So, b-a/a = 1/4;
Then 5a = 4b;
Compare this with 20a = bx;
Ans = x = 16;
Ravi said:
1 decade ago
Please help me to solve this equation.
(20 - x)/x*100 = 25.
2000 - 100 x = 25 x.
125 x = 2000.
How we get 25x in first step?
(20 - x)/x*100 = 25.
2000 - 100 x = 25 x.
125 x = 2000.
How we get 25x in first step?
SulekhaReddy said:
1 decade ago
C.P = 20.
S.P = X.
Here C.P of 20 articles is same as S.P of X articles.
So, we can assume that, 20 = X.
So, X = 1/20.
S.P = [(100+profit%)/100]C.P.
X = [(100+25)/100]1/20.
= 125/100*1/20.
= 5/4*1/20 = 5/80.
= 1/16.
So X = 16.
S.P = X.
Here C.P of 20 articles is same as S.P of X articles.
So, we can assume that, 20 = X.
So, X = 1/20.
S.P = [(100+profit%)/100]C.P.
X = [(100+25)/100]1/20.
= 125/100*1/20.
= 5/4*1/20 = 5/80.
= 1/16.
So X = 16.
Jaya Darshini said:
1 decade ago
Please explain me how come we assume that the CP of 1 article is Rs. 1. Why can't we assume some other value?
Govin said:
1 decade ago
Profit = SP-CP.
CP of 20 articles = SP of x articles.
Thus, SP = 20, here assume cost price for this as y.
Profit = 25%.
So, 0.25y = SP-y.
= 0.25y = 20-y.
y = 16.
CP of 20 articles = SP of x articles.
Thus, SP = 20, here assume cost price for this as y.
Profit = 25%.
So, 0.25y = SP-y.
= 0.25y = 20-y.
y = 16.
S.p.Bharath said:
1 decade ago
1. Assume any value for cost price.
Let it be Rs.20 (you can assume any value).
Then, according to question, He bought 20 articles each costs Rs. 20.
So 20*20=400.
2. He sells each article at 25% profit. So 25% of C.P Rs. 20 is Rs. 5.
So he sells each article at Rs. 25.25*x = 400. So x = 16.
Let it be Rs.20 (you can assume any value).
Then, according to question, He bought 20 articles each costs Rs. 20.
So 20*20=400.
2. He sells each article at 25% profit. So 25% of C.P Rs. 20 is Rs. 5.
So he sells each article at Rs. 25.25*x = 400. So x = 16.
Gayathri Ganesan said:
1 decade ago
@Jaya Darshini.
By default if no such values provided for computation in sense we assume such small value as possible that so we assume 1 here.
By default if no such values provided for computation in sense we assume such small value as possible that so we assume 1 here.
Gaurav Sharma said:
1 decade ago
C.P. of 20 articles = S.P of x articles = Let Rs 100 (I will write a for article).
Then if C.P. of 20a = Rs 100 (I have taken above).
So C.P. of 1 a = 100/20 = Rs 5.
Now we can take C.P. of x a = Rs 5x.
And S.P of x a = Rs 100 (taken in 1st line).
Now if we have C.P. and SP of X a, so take profit.
i.e (100-5x/5x)100 = 25.
So after solving this you will get x=16.
As I have taken 100 you can take y, 1, or any other variable just we need to equate.
Then if C.P. of 20a = Rs 100 (I have taken above).
So C.P. of 1 a = 100/20 = Rs 5.
Now we can take C.P. of x a = Rs 5x.
And S.P of x a = Rs 100 (taken in 1st line).
Now if we have C.P. and SP of X a, so take profit.
i.e (100-5x/5x)100 = 25.
So after solving this you will get x=16.
As I have taken 100 you can take y, 1, or any other variable just we need to equate.
PRUDHVI said:
1 decade ago
Sp contains cp and profit[25%].
=>x+x/4[25% of x] = 20.
x+x/4 = 20.
=> 5x/4 = 20.
5x = 80.
x = 16.
=>x+x/4[25% of x] = 20.
x+x/4 = 20.
=> 5x/4 = 20.
5x = 80.
x = 16.
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