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:
356 comments Page 14 of 36.
Himanshu said:
1 decade ago
SP = 20.
Gain = 25%.
CP = ?
CP = (100*20)/(100+25).
Gain = 25%.
CP = ?
CP = (100*20)/(100+25).
Pavan divi said:
1 decade ago
Let cost price of an article be "a"
Let selling price of an article be "b"
Cost price of 20 articles is the same as the selling price of x articles. i.e;
20*a = x*b.
Profit = 25%.
((total articles * b) - (total articles * a))/(total articles * a) = 25 /100.
=> (20b-20a)/20a = 1/4.
=> b=5a/4.
Substitute b in 1st equation,
x=16.
Let selling price of an article be "b"
Cost price of 20 articles is the same as the selling price of x articles. i.e;
20*a = x*b.
Profit = 25%.
((total articles * b) - (total articles * a))/(total articles * a) = 25 /100.
=> (20b-20a)/20a = 1/4.
=> b=5a/4.
Substitute b in 1st equation,
x=16.
Geek said:
1 decade ago
It is very simple.
It is given CP of some number of articles is equal to the SP of other number of articles.
Something like this,
CP of 20 apples = SP of 15 apples.
20*CP of each apple= 15*SP of each apple.
20*CP = 15*SP.
NOW just put the formula.
Gain% = CP-SP/CP*100.
It is given CP of some number of articles is equal to the SP of other number of articles.
Something like this,
CP of 20 apples = SP of 15 apples.
20*CP of each apple= 15*SP of each apple.
20*CP = 15*SP.
NOW just put the formula.
Gain% = CP-SP/CP*100.
Raju said:
1 decade ago
Can you explain me about the assumptions it makes me difficult to understand?
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 !.
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).
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.
Pritam said:
1 decade ago
How 100/20=4? @Joy ghosh.
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.
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.
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