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 6 of 36.
Mahesh bruclee said:
6 years ago
Hi guys,
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 simple.
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 simple.
NSK said:
4 years ago
[20 Article *(C1)= X article * (C2)] (C1 OR C2 are cost per Aricle).
{i.e C2 is more than C1 and also the number of articles are less than 20}
*************************************************
profit is 25%.
25={(C2 -C1)/C1}*100
C2=4/5C1.
ie: 20 * C1 = X*(4/5)C1.
X = 16.
{i.e C2 is more than C1 and also the number of articles are less than 20}
*************************************************
profit is 25%.
25={(C2 -C1)/C1}*100
C2=4/5C1.
ie: 20 * C1 = X*(4/5)C1.
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.
Niru said:
1 decade ago
If the profit % = 25 %.
Then S.P= 125... C.P.
Let this be equation 1.
And it is given that 20 article's cost price is equal to x article's selling price, by converting to equation we get,
20*C.P = x*S.P.
By substituting the first equation in S.P we get,
(20*100)/125.
= 16.
Then S.P= 125... C.P.
Let this be equation 1.
And it is given that 20 article's cost price is equal to x article's selling price, by converting to equation we get,
20*C.P = x*S.P.
By substituting the first equation in S.P we get,
(20*100)/125.
= 16.
Jimmy said:
10 years ago
Supposed that the price of 20 articles is 100$.
Then the selling price is 100$ + 100$*0.25 = 125$.
Since the cost price is equal to the to sold price of x article.
We get 20 articles can be sold for 125$.
x articles can be sold for 100$.
x = 100$*20/125$.
x = 16 articles.
Then the selling price is 100$ + 100$*0.25 = 125$.
Since the cost price is equal to the to sold price of x article.
We get 20 articles can be sold for 125$.
x articles can be sold for 100$.
x = 100$*20/125$.
x = 16 articles.
Rajwardhan said:
10 years ago
Let C.P of 1 article Re. 1.
Than C.P of 20 articles is Rs. 20.
Therefore S.P of x articles is Rs. 20.
S.P of x article is Rs. 20.
S.P of 1 article is Rs. (20/x).
Profit on 1 article is = SP-CP.
= (20/x)-1.
Profit = 25% = ((20/x)-1)*100.
25x = (20-x)*100.
x = 16 answer.
Than C.P of 20 articles is Rs. 20.
Therefore S.P of x articles is Rs. 20.
S.P of x article is Rs. 20.
S.P of 1 article is Rs. (20/x).
Profit on 1 article is = SP-CP.
= (20/x)-1.
Profit = 25% = ((20/x)-1)*100.
25x = (20-x)*100.
x = 16 answer.
Noah said:
1 decade ago
Ok lets assume.
Cost price be x and.
Selling price be y.
Since:
(S.P - C.P) / S.P *100 = profit.
Then,
(y - x)/y * 100 = 25/100.
(y - x)/y = 1/4.
When you cross multiply.
4(y - x) = y.
4y - 4x = y.
5y = 4x.
From the question S.P = C.P.
5y = 4*20.
5y/5 = 80/5.
y = 16.
Cost price be x and.
Selling price be y.
Since:
(S.P - C.P) / S.P *100 = profit.
Then,
(y - x)/y * 100 = 25/100.
(y - x)/y = 1/4.
When you cross multiply.
4(y - x) = y.
4y - 4x = y.
5y = 4x.
From the question S.P = C.P.
5y = 4*20.
5y/5 = 80/5.
y = 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.
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.
Poritosh Modak said:
10 years ago
Let costing price = 100 Rs;
Profit = 25%.
Then selling price = (100+25) = 125 Rs.
If selling prices 125 then costing price 100 Rs.
If selling price 1 then costing price 100 Rs = (100/125) = 4/5.
If selling price 20 then costing price 100 Rs = (4/5)*20 = 16.
Answer: 16.
Profit = 25%.
Then selling price = (100+25) = 125 Rs.
If selling prices 125 then costing price 100 Rs.
If selling price 1 then costing price 100 Rs = (100/125) = 4/5.
If selling price 20 then costing price 100 Rs = (4/5)*20 = 16.
Answer: 16.
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