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 17 of 36.
Ayush said:
9 years ago
@Prabhleen.
Let assume cp of 1 item is a, and sp of one item is b. Then according to question first line.
20a = xb.
Also by profit statement.
sp = (100 + gain%) cp.
=> b=125%a.
A replacing value of b in the previous equation.
=> 20a = x(125%a).
=> x = (20 * 100) /125.
=> x = 16.
Let assume cp of 1 item is a, and sp of one item is b. Then according to question first line.
20a = xb.
Also by profit statement.
sp = (100 + gain%) cp.
=> b=125%a.
A replacing value of b in the previous equation.
=> 20a = x(125%a).
=> x = (20 * 100) /125.
=> x = 16.
Ranjith said:
9 years ago
How you assume Rs. 100? Please clarify.
M.M Zaman said:
9 years ago
Let the value be X.
Now, 25% of X + X = 20.
i,e X = 16.
Now, 25% of X + X = 20.
i,e X = 16.
Anu said:
9 years ago
Where in this question is given the Dp of one article is re1?
Eesan said:
9 years ago
Let the cost price of 1 article = P.
So C.P. of 20 article = 20P.
Now, S.P. of x articles = C.P. of 20 article.
So, S.P. of 1 article = 20P / x.
Profit = S.P - C.P. = 20P/x - P.
Now profit% = ((S.P. - C.P.) * 100)/C.P.
= ((20P / x) - P) * 100/ P = 16.
So C.P. of 20 article = 20P.
Now, S.P. of x articles = C.P. of 20 article.
So, S.P. of 1 article = 20P / x.
Profit = S.P - C.P. = 20P/x - P.
Now profit% = ((S.P. - C.P.) * 100)/C.P.
= ((20P / x) - P) * 100/ P = 16.
Mallesh said:
9 years ago
@Umesh explanation is simple and easily understandable.
Suprotim Paul said:
9 years ago
Good explanation @Sanjeet.
Sreedhar said:
9 years ago
See it's simple.
C.P of 20 article = S.P of X article --> (1)
Let me assume CP of 1 article is 1.
then CP for 20 article it'll be 20.
From condition (1)
CP of 20 article= SP of X article = 20.
Then SP of 1 article = 20/X.
We know that,
Profit %= (SP - CP) * 100/CP.
25 = ((20/X) - 1) * 100).
1/4 = 20 - x/x.
x = 80 - 4X.
5X = 80.
So, x = 16.
C.P of 20 article = S.P of X article --> (1)
Let me assume CP of 1 article is 1.
then CP for 20 article it'll be 20.
From condition (1)
CP of 20 article= SP of X article = 20.
Then SP of 1 article = 20/X.
We know that,
Profit %= (SP - CP) * 100/CP.
25 = ((20/X) - 1) * 100).
1/4 = 20 - x/x.
x = 80 - 4X.
5X = 80.
So, x = 16.
Neha said:
9 years ago
See,
CP of 1 article = 1 Rs,
Similarly CP of 20 articles = 20rs.
SP of x articles = 20 rs.
But 25x profit get on 20 Rs.
So,
125x = 20.
100x = ?
(100 * 20)/125 = 16.
So x = 16.
CP of 1 article = 1 Rs,
Similarly CP of 20 articles = 20rs.
SP of x articles = 20 rs.
But 25x profit get on 20 Rs.
So,
125x = 20.
100x = ?
(100 * 20)/125 = 16.
So x = 16.
Kishan said:
9 years ago
@Neha. Your explaination superb.
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