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:
353 comments Page 29 of 36.

Rohit said:   7 years ago
Why we have to assume and take Rs 1 here?

Can you explain in detail? please.

Rushikesh said:   7 years ago
We can solve these problem by using another method.

Given 20 C.P.=x S.P --> eq1.
but the profit is 25%.

Therefore, SP=(125/100)*CP.
put above value of SP in eqn 1.
20*CP=x*(125/100)CP.
By solving x=16.

RAVI PRAKASH said:   7 years ago
We have a direct formula. that can help to get the answer.

The selling price = (c.p * 100)/ (profit%) + 100
= (20*100)/ (25 + 100).
= 20*100 /(125) = 20*4/5.
= 4*4.
= 16.

Jyotiranjans Senapati said:   7 years ago
Profit=(20-x).

How it is Possible ?
Profit Means;
For Example One Item Bay 2 Rupees, This Item sell 4 Rupees.
Then Profit 2 Rupees.
Profit How To Calculated.
= Sp-Cp.

Nayana said:   7 years ago
(20-x/x* 100) explain this step clearly.

Radhakrishnan N said:   7 years ago
Cost = Rs 100 For 20=Rs2000,
Sale price of x articles= Rs 2000,
Profit 25% sale price Rs125,
125x = Rs 2000,
X= 2000/125= 16.

Francis said:   7 years ago
It is given that;

20(C.P)=x(S.P).
And we know that,
Profit=(SP-CP) /CP.
Therefore,0.25=(SP-(SP*x/20))/(SP*x/20)).
Solving the equation we have,
x=16.

Jeet said:   7 years ago
Best solution. Thanks @Radhakrishnan.

Shreeshail karajol said:   7 years ago
(20) cp=(x) sp ------> 1.

Profit=25%.

Means
sp = 125% of cp.
sp = 125/100*((x*sp)/20) {because 1}.
1= 125*x/100*20.
2000/125 = x.
X = 16.

Mounika said:   7 years ago
@Chetan.

Your explanation is good and easy to understand.


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