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:
15
16
18
25
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:
354 comments Page 15 of 36.

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.

Lourdhurani said:   10 years ago
I could not understood please help me.

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.

A.VENUGOPAL said:   10 years 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 ?

Subham said:   10 years 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.

Shristi said:   10 years ago
Thanks friends for explaining more clearly.

Sriram Praksh said:   10 years 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.

Shahnewaz said:   10 years ago
100*20 = 125*x.

x = 100*20/125.
x = 16.

Rahul said:   10 years 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?

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.


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