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:
355 comments Page 9 of 36.
Vishal said:
6 years ago
Nice explanation @Sanjeet.
Anomie said:
6 years ago
Nice explanation @Milan.
Milan Viradia said:
6 years ago
Let, CP of 1 article = 1 Rs.
Now, Profit = 25%,
SP of 1 article = 1.25.
Hence, SP of x article = x*1.25.
CP of 20 article = SP of x article.
20 = x * 1.25.
x = 20/1.25.
x = 16.
Now, Profit = 25%,
SP of 1 article = 1.25.
Hence, SP of x article = x*1.25.
CP of 20 article = SP of x article.
20 = x * 1.25.
x = 20/1.25.
x = 16.
Niveditha said:
7 years ago
It Helped a lot. Thank you @Roopa.
Prasad Bhalerao said:
7 years ago
Thanks for solving it @Chetan.
Meheli said:
7 years ago
20 * 100/125 = 16.
Ameer said:
7 years ago
Let's say the cost price of 20 articles = 100
the selling price of X articles= 100
Gain=25%.
So the cost price of 1 article = 100/20=5.
The selling price of 1 article = 100/X,
Formula= {100/(100+gain%)} * S.P.
5 = {100/(100+25)} *100/X.
Hence X = 16.
the selling price of X articles= 100
Gain=25%.
So the cost price of 1 article = 100/20=5.
The selling price of 1 article = 100/X,
Formula= {100/(100+gain%)} * S.P.
5 = {100/(100+25)} *100/X.
Hence X = 16.
Anurag said:
7 years ago
I think answer is incorrect because it said the CP of 20 articles = SP.
S.P = x.
Then CP will be of 20 article = 20x.
S.P = x.
Then CP will be of 20 article = 20x.
Khan said:
7 years ago
Simple method:
Equation is C. P of 20 articles = SP * x.
C. P is always supposed Rs 100,
P=S.P-CP.
25=S.P-100,
S.P=25+100,
S.P=125.
Now
CP=100,
SP=125,
P=25.
Put into equation
C. P * 20 = sp * x,
100 * 20 = 125 * X,
100 * 20/125 = X.
16 = X.
Equation is C. P of 20 articles = SP * x.
C. P is always supposed Rs 100,
P=S.P-CP.
25=S.P-100,
S.P=25+100,
S.P=125.
Now
CP=100,
SP=125,
P=25.
Put into equation
C. P * 20 = sp * x,
100 * 20 = 125 * X,
100 * 20/125 = X.
16 = X.
Hazard said:
7 years ago
Well said, Thanks @Mateen Wani.
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