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 3 of 36.
Sundar said:
2 decades ago
Hi Pinky,
Please read the the question carefully and the first two lines of the explanation given, then you will understand the answer for your question.
{
The cost price of 20 articles is the same as the selling price of x articles.
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.
S.P. of x articles = Rs. 20.
}
Have a nice guys.!
Please read the the question carefully and the first two lines of the explanation given, then you will understand the answer for your question.
{
The cost price of 20 articles is the same as the selling price of x articles.
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.
S.P. of x articles = Rs. 20.
}
Have a nice guys.!
Micmysty said:
1 decade ago
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:
1. Number of unsold articles = 20-x.
2. In proportion to number of sold articles (x) = 20-x/x.
Number of sold articles is equal to 1 article in 4 = 1/4.
20-x/x = 0.25.
0.25x = 20-x.
0.25x+x = 20.
1.25x = 20.
20/1.25 = 16.
1. Number of unsold articles = 20-x.
2. In proportion to number of sold articles (x) = 20-x/x.
Number of sold articles is equal to 1 article in 4 = 1/4.
20-x/x = 0.25.
0.25x = 20-x.
0.25x+x = 20.
1.25x = 20.
20/1.25 = 16.
Bharath said:
8 years ago
Just follow the below simple steps.
We assumed that CP of each article is Rs.1 so our SP
Selling Price 20
Profit Percentage 25%
cost Price ?
Well, we all know that SP is inclusive of Profit 25 Percent.Hence in order to calculate the profit, we should calculate as follows 25*125/25 = 4.
Now just deduct your profit from SP.
Which brings up = 16.
We assumed that CP of each article is Rs.1 so our SP
Selling Price 20
Profit Percentage 25%
cost Price ?
Well, we all know that SP is inclusive of Profit 25 Percent.Hence in order to calculate the profit, we should calculate as follows 25*125/25 = 4.
Now just deduct your profit from SP.
Which brings up = 16.
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.
Vivek said:
8 years ago
Assume C.P of 1 item = Re. 1.
Therefore, S.P of 1 item = 1.25 (Profit 25%)
For 20 items, C.P = S.P .
20 items * Re. 1 = Rs. 20. <== S.P and C.P (No of items * C.P of 1 item)
x items * Re. 1.25 = Rs. 20 <== This is to find No of items that can be sold for Rs. 20
Usual calculation, find x, bring 1.25 to R.H.S
x = 20/1.25 = 16 items.
Therefore, S.P of 1 item = 1.25 (Profit 25%)
For 20 items, C.P = S.P .
20 items * Re. 1 = Rs. 20. <== S.P and C.P (No of items * C.P of 1 item)
x items * Re. 1.25 = Rs. 20 <== This is to find No of items that can be sold for Rs. 20
Usual calculation, find x, bring 1.25 to R.H.S
x = 20/1.25 = 16 items.
Jagadeesh said:
7 years ago
If 20 article=100rs then each article=100/20=5.
X article= 100rs then each article=100/X,
Formula- %profit={(SP-CP)/CP}*100.
25={(100/X-5)/5}*100,
25={(100-5X/X)/5}*100,
25={(100-5X)/5X}*100,
25/100={(100-5X)/5X},
(1/4) 5X=(100-5X),
5X = 400-20X,
5X+20X = 400,
25X = 400,
X = 400/25=16.
X article= 100rs then each article=100/X,
Formula- %profit={(SP-CP)/CP}*100.
25={(100/X-5)/5}*100,
25={(100-5X/X)/5}*100,
25={(100-5X)/5X}*100,
25/100={(100-5X)/5X},
(1/4) 5X=(100-5X),
5X = 400-20X,
5X+20X = 400,
25X = 400,
X = 400/25=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%.
Pranav said:
2 years ago
Given:
Cost price of 20 articles = Selling price of x articles
20 * C = x * S.
Profit is 25%, which means the selling price is 125% of the cost price:
S = 1.25 * C.
Substitute the value of S from the second equation into the first equation:
20 * C = x * (1.25 * C).
Now, solve for x:
x = (20 * C)/(1.25 * C),
x = 20/1.25,
x = 16.
Cost price of 20 articles = Selling price of x articles
20 * C = x * S.
Profit is 25%, which means the selling price is 125% of the cost price:
S = 1.25 * C.
Substitute the value of S from the second equation into the first equation:
20 * C = x * (1.25 * C).
Now, solve for x:
x = (20 * C)/(1.25 * C),
x = 20/1.25,
x = 16.
(133)
Chandan kumar said:
1 decade ago
We can also use formula this type of question.
If the cost price of M article is equal to selling price N article
then.
%gain/loss = (M-N/N)*100.
If M>N it is gain% if M<N it loss%.
Solution:- 25 = (20-X/x)*100.
25x = 2000-100x.
125x = 2000.
x = 2000/125.
x = 16.
If the cost price of M article is equal to selling price N article
then.
%gain/loss = (M-N/N)*100.
If M>N it is gain% if M<N it loss%.
Solution:- 25 = (20-X/x)*100.
25x = 2000-100x.
125x = 2000.
x = 2000/125.
x = 16.
Abdullah said:
9 years ago
It's VERY EASY!
Let C.P of 1 article is 1Rs. than C.P of 20 articles is 20 RS.
Again S.P of X articles is 20 RS.
So, S.P of 1 article is 20/x.
Now putting the CP and SP of 1 article and profit% in the standard formula given below.
SP = CP*(100 + GAIN)/100.
We have,
20/x =1*(100 + 25)/100.
20/x = 125/100
2000 = 125x.
x = 16.
Let C.P of 1 article is 1Rs. than C.P of 20 articles is 20 RS.
Again S.P of X articles is 20 RS.
So, S.P of 1 article is 20/x.
Now putting the CP and SP of 1 article and profit% in the standard formula given below.
SP = CP*(100 + GAIN)/100.
We have,
20/x =1*(100 + 25)/100.
20/x = 125/100
2000 = 125x.
x = 16.
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