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:
355 comments Page 19 of 36.

PINAKI CHATTERJEE said:   1 decade ago
CP * 20 = SP * X,
25 % PROFIT MEANS (CP+CP*25/100)=1.25 CP
NOW YOU CAN WRITE SP= 1.25 CP,
CP*20=1.25 CP * X
X=20/1.25
X= 16

JOHNNY said:   1 decade ago
How we came to an assumption that cost of cost of each article = "RS 1" and cost of X articles is rs "X"

Amit said:   6 years ago
Simply, the solution is;

Take C.P as 100% always.
Now,
100%=x.
Profit is 25% so 100+25.
125%=20,
Solve for x,
Ans is 16.

Suku Driver said:   1 decade ago
1 step answer:

(1/(20-x)) *100 = 25%.

Simplify, and gets x=16.

Note: (1/(20-x)) is the fraction in terms of Articles.

Azu said:   1 decade ago
Ok, cool see this guys:

As it was given 20(C.P) = x(S.P)--(1).

And {[(S.P)-(C.P)]/C.P} = 0.25--(2).

Solving, x = 16.

Mateen Wani said:   7 years ago
CP*20 = SP*X.
CP/SP = X/20.
100/125 = X/20(profit is 25%, therefore if we take CP as 100% then SP will b 125%).
X = 16.

Anurag said:   7 years ago
I think answer is incorrect because it said the CP of 20 articles = SP.

S.P = x.

Then CP will be of 20 article = 20x.

Surendar said:   4 months ago
Let assume cp = 100,
Profit is 25%.
sp = 125.
cp 20 = spx,
sp/cp = 20/x,
125/100 = 20/x.
So, the final answer is 16.
(66)

Shivanandam said:   1 decade ago
Answer is 15 coming.

If we go with options. A) 15.

Profit% = (25-15)/20*100 = 25% profit.

Then answer is 15 right.

Vishal said:   3 years ago
25 % profit means 1/4.

20 cp = xsp.
sp/cp = 20/x.
So by formula;
1/4 = sp/cp - cp/cp.
5/4 = 20/x.
5x = 80.
x = 16.
(40)


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