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).
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20 - x | x 100 = 25 | ![]() |
x |
2000 - 100x = 25x
125x = 2000
x = 16.
Video Explanation: https://youtu.be/sidqvjUoZxY
Discussion:
353 comments Page 24 of 36.
Muddasir Nawaz said:
7 years ago
Lets C.P. of 20 articles=100 rupees.
then S.P. of 20 articles = 125 (with 25% profit).
S.P. of 1 article =125/20 = 6.25.
The C.P. and S.P. is equal which is 100. So one can sale 16 articles having the price of 6.25 in 100 rupees.
As following
100/6.25=16.
then S.P. of 20 articles = 125 (with 25% profit).
S.P. of 1 article =125/20 = 6.25.
The C.P. and S.P. is equal which is 100. So one can sale 16 articles having the price of 6.25 in 100 rupees.
As following
100/6.25=16.
Pranay katkar said:
7 years ago
I got it. Thanks @Chetan.
Gopinath said:
7 years ago
Thanks for explaining @Chetan.
Vatsalya said:
7 years ago
Why it's not 25 can anyone explain?
Sahil said:
7 years ago
@Vatsalya.
If C.P of 20 articles = S.P of 25 articles.
Then there will be a loss, not profit.
If C.P of 20 articles = S.P of 25 articles.
Then there will be a loss, not profit.
Lawrencia said:
7 years ago
I have not understand this. Please explain in detail.
Captain said:
7 years ago
Simple alternative.
x * 125/100 = 20,
125x = 2000,
125x/125 =2000/125,
x = 16.
x * 125/100 = 20,
125x = 2000,
125x/125 =2000/125,
x = 16.
Sravani said:
7 years ago
CP * 20 articles = SP * x --> (1).
By formula, SP = (100 + profit %) * CP.
=> 125/100 * CP.
substitute in (1),
CP * 20 = 125/100 * CP * x.
x = 2000/125.
x = 16.
By formula, SP = (100 + profit %) * CP.
=> 125/100 * CP.
substitute in (1),
CP * 20 = 125/100 * CP * x.
x = 2000/125.
x = 16.
Ali said:
7 years ago
The question says the purchase price of 20 articles is the same as the selling price of x.
Let's say that 20 articles cost me 100. This means selling price of x to be 100.
We are unaware of the purchase price of x. But the profit is given i.e. 25%.
Now given the options, when I tried the last option (D = 25). I got profit to be 25%.
Let's say that 20 articles cost me 100. This means selling price of x to be 100.
We are unaware of the purchase price of x. But the profit is given i.e. 25%.
Now given the options, when I tried the last option (D = 25). I got profit to be 25%.
Swati Pandey said:
7 years ago
Let the CP of 1 article = 100.
By formula, SP = (100 + profit %) * CP.
125/100 * 100 = 125.
CP of 20 articles = 2000.
CP of 20 articles= SP of x articles.
2000= 125 *x.
Therefore, X = 16.
By formula, SP = (100 + profit %) * CP.
125/100 * 100 = 125.
CP of 20 articles = 2000.
CP of 20 articles= SP of x articles.
2000= 125 *x.
Therefore, X = 16.
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