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 18 of 36.

SAIRAM said:   9 years ago
Friends it is easy.

20 articles are bought.

Then cost price = 20(A)...i.e A is price of each article so cp = 20A.

And given that X articles are sold at B price, then selling price of X articles are = XB.
And given 20A = XB.
Given 25% profit.
So profit% = profit/cp * 100.

Given total profit so, consider 20 articles.
25 = (20B - 20A)/20A * 100;
100A = 80B
So, A/B = 4/5.
4B = 5A.

Given, 20A = XB.
4 * 5A = XB,
4 * 4B = XB,
16B = XB,
X =16.

Netra said:   9 years ago
What do you mean by Profit is 20% of sales (ie 25% of cost)?

Kumar Prabhat said:   9 years ago
(Goods left/Goods sold) 100 => (20 - X/X) * 100 = 25.

Rocky said:   9 years ago
I can't understand this method. So please solve this by another method.

Nithin said:   9 years ago
Guys, I will tell you a basic logic which I felt.

Assumption but it works

25% of profit.

Means
It can be
Sp - Cp = Profit.
125 - 100 = 25.

So no of items which can be bought is 100/125 = 8.

So, the answer must be a multiple of 8.

Sagar said:   9 years ago
Consider CP=100, we know profit 125.
If in 125 rupees - 20 article.
Then in 100 - ?

= 100/125 x 20 = 16.

Nidhi said:   9 years ago
CP. : SP
100% : 125%
4 : 5

Article 5 : 4 (Inversely proportional).
20 : 16

Answer is 16 article.

Kaviarasan said:   9 years ago
@Nithi.

Your explain is very nice easy to understand.

Bhavana said:   9 years ago
Hello, I am confused why profit 25% of cost=20% of the selling price? Explain it.

Ujwal said:   9 years ago
Total SP = sp of x item +sp of 20-x items=cp+sp of 20-x items.
Profit = total sp - total c p =cp + sp of 20-x items-cp = sp of 20-x items.
Profit % = profit * 100/cp.
i.e. 25=(20-x) * 100/x.
Therefore, x =16.


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