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 26 of 36.
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.
Santosh Dalal said:
1 decade ago
Hello friends.
We can use given below method or not ?
125/100*x = 20.
=> x = 20*100/125.
=> x = 16.
We can use given below method or not ?
125/100*x = 20.
=> x = 20*100/125.
=> x = 16.
Ashwin said:
1 decade ago
Let us consider cost price of 20 articles = 20CP.
And selling price of x articles = xSP.
As he said SP of x articles is same as CP of 20 articles we take,
20CP = xSP.
SP = (20CP)/x.
Profit(.25) = SP-CP/CP.
(20CP-xCP)/xCP = .25.
i.e (20-x)/x = .25.
Implies x = 16.
And selling price of x articles = xSP.
As he said SP of x articles is same as CP of 20 articles we take,
20CP = xSP.
SP = (20CP)/x.
Profit(.25) = SP-CP/CP.
(20CP-xCP)/xCP = .25.
i.e (20-x)/x = .25.
Implies x = 16.
Abhimanyu said:
1 decade ago
20 article C.P = 100rs(say).
Note: When given profit percentage, he calculates it only after selling all goods.
So 20 articles S.P = 125 (SINCE PROFIT PERCENT =25%).
Now consider only S.P.
125 rs --->20 articles.
100 rs --->? articles.
100*20/125 = 16.
That is it simple.
Note: When given profit percentage, he calculates it only after selling all goods.
So 20 articles S.P = 125 (SINCE PROFIT PERCENT =25%).
Now consider only S.P.
125 rs --->20 articles.
100 rs --->? articles.
100*20/125 = 16.
That is it simple.
Sasha said:
1 decade ago
Let CP for 20 articles be y then one article price = y/20.
SP for x articles is also y, then one article SP = x/y.
Now, since profit is 25%:
Profit on 1 article(out of 20)+CP of one article = SP of 1 article(out of x).
(y/20)*(125/100)=(y/x).
Therefore, x=16.
SP for x articles is also y, then one article SP = x/y.
Now, since profit is 25%:
Profit on 1 article(out of 20)+CP of one article = SP of 1 article(out of x).
(y/20)*(125/100)=(y/x).
Therefore, x=16.
Pritam said:
1 decade ago
How 100/20=4? @Joy ghosh.
Joy ghosh said:
1 decade ago
Let cost price of total =100.
Now cost price of one = 100/20=4.
Now sell price of one = 4*125/100=5.
Now we know c.p of 20 = s.p of X .
Then 20*4 = 5*X.
Or x= 16 answer.
Now cost price of one = 100/20=4.
Now sell price of one = 4*125/100=5.
Now we know c.p of 20 = s.p of X .
Then 20*4 = 5*X.
Or x= 16 answer.
Chinmaya said:
1 decade ago
Let SP of 1 article = RS 1.
Then SP of X articles = RS X.
ACCORDING TO GIVEN,
CP of 20 articles = SP of X articles.
CP of 20 articles = RS X.
CP of 1 article = RS X/20.
SP = CP ( 1 + R/100 ).
1 = 125/100 * X/20.
X = 16. ans (this is the most simplest way).
Then SP of X articles = RS X.
ACCORDING TO GIVEN,
CP of 20 articles = SP of X articles.
CP of 20 articles = RS X.
CP of 1 article = RS X/20.
SP = CP ( 1 + R/100 ).
1 = 125/100 * X/20.
X = 16. ans (this is the most simplest way).
Abhinav Sharma said:
1 decade ago
Now, This is simplest way I could relate:
No. of articles = 20.
Let CP of 1 article = Re. 1.
CP of 20 articles = Rs. 20 ..... (Eq. 1).
SP of 1 article = 1.25x1 = Rs. 1.25 (Since profit is 25%).
SP of X articles = 1.25X .... (Eq. 2).
Now, the statement says the CP of 20 articles = SP of "X" articles with a profit of 25% i.e. Eq. 1 = Eq. 2.
20 = 1.25X.
X= 20/1.25 = 16.
Hope it clears !.
No. of articles = 20.
Let CP of 1 article = Re. 1.
CP of 20 articles = Rs. 20 ..... (Eq. 1).
SP of 1 article = 1.25x1 = Rs. 1.25 (Since profit is 25%).
SP of X articles = 1.25X .... (Eq. 2).
Now, the statement says the CP of 20 articles = SP of "X" articles with a profit of 25% i.e. Eq. 1 = Eq. 2.
20 = 1.25X.
X= 20/1.25 = 16.
Hope it clears !.
Raju said:
1 decade ago
Can you explain me about the assumptions it makes me difficult to understand?
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