Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - Data Sufficiency 3 (Q.No. 1)
Directions to Solve

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.


1.

By selling an article what is the profit percent gained?

I. 

5% discount is given on list price.

II. 

If discount is not given, 20% profit is gained.

 III. 

The cost price of the articles is Rs. 5000.

Only I and II
Only II and III
Only I and III
All I, II and III
None of these
Answer: Option
Explanation:

 I. Let the list price be Rs. x.

Then, S.P. = 95% of Rs. x = Rs. x x 95 = Rs. 19x
100 20

II. When S.P. = Rs. x and gain = 20%.

Then, C.P. = Rs. 100 x x = Rs. 5x
120 6

Gain = 19x - 5x = 57x - 50x = 7x
20 6 60 60

Gain % = 7x x 6 x 100 % = 14%.
60 5x

Thus, I and II only give the answer.

Correct answer is (A).

Discussion:
27 comments Page 3 of 3.

Arpan Das said:   6 years ago
Why II & III couldn't be the answer?

C.P=5000;then if 20% profit is gained the profit amount will be = 1000,
Then by the formula, Gain%=(Gain*100)/C.P.

Cherry said:   5 years ago
@Sandy.

Thanks for explaining the solution.

Jey ShreeMen G.R. said:   5 years ago
@Sandy.

Thanks for your explanation.

Sudhanshu said:   5 years ago
I think we can also come to a solution using II and III;
CP = 5000.
SP = 120%(CP) = 6000.
Thus profit = 1000 and profit% = 20%.
(3)

Saurav said:   5 years ago
Why not II and III? Please explain.
(1)

Cubie said:   4 years ago
S.P = (100-5)% of X.
95%of X (X= MRP).
How we can write: S.P = (100-5)% of X? Explain, please.

Abhijeet raghuwanshi said:   4 years ago
I want to say that if we take 2nd statement only.

Let the selling price be x.
Gain percentage =20% (given in 2nd statment).
Gain percentage= ( (sp-cp) /cp) *100.
Therefore 20= ( (x-cp) /cp) *100.
Which gives cp= (5/6) *x.
Profit percentage = ( (sp-cp) /cp) *100.
Profit percentage= ( (x- (5/6) x) / (5/6) x) *100.
Profit percentage=20% approximately.

Am I right? Correct me If I am wrong.


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