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 19 of 36.

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.

Subhajit Mitra said:   9 years ago
Cost price of m article is equal to selling price of n article then,

Gain or loss% = (m - n/n) *100.

Here,

25 = (20 - x/x)/100.

X = 16.

Raunak said:   9 years ago
@Sanjeet Kumar.

Very well explained and thanks a lot.

Rajender Kumar said:   9 years ago
@Sanjeet could you tell me.

Hence, S. P of x article is Rs. 20.

So S. P. of 1 article = 20/x.

After that, I can't understand why are you using -1 for profit on one article.
Profit on one article= (20/x) - 1.

Please explain me.

Manash said:   9 years ago
Let's assume that the CP of each item is Re 1.

Thus, for 20 items, total CP would be Rs 20.

Given that, he makes a profit of 25%,

ie) He is selling every Re 1 item for Rs. 1.25.

Now, since the CP of 20 items (i.e Rs 20) is equal to the SP of x items, therefore,

x * 1.25 = 20.

=> x= 16.

Pawar Upendra Dinesh Reddy said:   9 years ago
@All

Sanjeet Kumar's explanation is clear and understandable.


Post your comments here:

Your comments will be displayed after verification.