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:
360 comments Page 22 of 36.
Abdullah said:
1 decade 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.
Rahul said:
1 decade ago
This question is quite simple but the language or the way of asking made in inconvenient to solve. Here is another way to ask the same question.
Cost of an article is 1/20. If you sell it at 25% profit then find out the Selling price?
Cost of an article is 1/20. If you sell it at 25% profit then find out the Selling price?
Shahnewaz said:
1 decade ago
100*20 = 125*x.
x = 100*20/125.
x = 16.
x = 100*20/125.
x = 16.
Sriram Praksh said:
1 decade ago
Shortcut method:
20 C.P = X S.P.
C.P/S.P = X/20.
Profit 25% --> 125.
So that 125---> 25 means.
100---> ?
Answer = 16.
20 C.P = X S.P.
C.P/S.P = X/20.
Profit 25% --> 125.
So that 125---> 25 means.
100---> ?
Answer = 16.
Shristi said:
1 decade ago
Thanks friends for explaining more clearly.
Subham said:
1 decade ago
25% = 1/4.
Out of 5 articles 4 articles sold and 1 is profit.
What about 20 (4 times of 5)?
5 = 4+1.
4 times so, 20 = 16+4.
Out of 5 articles 4 articles sold and 1 is profit.
What about 20 (4 times of 5)?
5 = 4+1.
4 times so, 20 = 16+4.
A.VENUGOPAL said:
1 decade ago
Let us problem given profit percentage 25%.
Cost price of articles = 1 rupee.
Then 20 article cost = 20*1 = 20 rupees.
Selling price = x (says).
Now profit% = (profit *100)/cp.
Profit = cp-sp.
So (20-x), profit% = 25%.
(25*20)/100 = 20-x.
Then x =15 rupees. Why we don't use this method ?
Cost price of articles = 1 rupee.
Then 20 article cost = 20*1 = 20 rupees.
Selling price = x (says).
Now profit% = (profit *100)/cp.
Profit = cp-sp.
So (20-x), profit% = 25%.
(25*20)/100 = 20-x.
Then x =15 rupees. Why we don't use this method ?
Poritosh Modak said:
1 decade 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.
Lourdhurani said:
1 decade ago
I could not understood please help me.
Rajwardhan said:
1 decade 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.
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