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. |
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.
Trouble said:
1 decade ago
But why not third statement is true like.
cp = (100/100*gain%)*sp from third statement.
Where we know,
sp = 120% of cp from statement 2nd.
So we can say,
cp = (100/100+gain%)*120% of cp which 100 + gain% = 120.
Gain% = 20.
cp = (100/100*gain%)*sp from third statement.
Where we know,
sp = 120% of cp from statement 2nd.
So we can say,
cp = (100/100+gain%)*120% of cp which 100 + gain% = 120.
Gain% = 20.
Sudarshan yadav said:
1 decade ago
After giving 5% discount on list price,
sp=x-5*x/100=19x/20.
In 2nd case no discount is given that means marked price = sp.
So sp = x.
Again to gain 20% cp should be,
cp = 100*x/(100+20) = 0.833x.
Now to find profit take sp of when this is given so,
Profit = (sp-cp)*100/cp = (0.95-0.833) *100/0.833 = 14%.
So statement 1 and 2 are only needed to answer.
sp=x-5*x/100=19x/20.
In 2nd case no discount is given that means marked price = sp.
So sp = x.
Again to gain 20% cp should be,
cp = 100*x/(100+20) = 0.833x.
Now to find profit take sp of when this is given so,
Profit = (sp-cp)*100/cp = (0.95-0.833) *100/0.833 = 14%.
So statement 1 and 2 are only needed to answer.
Iamateur said:
1 decade ago
What is the meaning of list price in the question?
Kaustubh said:
1 decade ago
How to get the equation?
Mani Soni said:
1 decade ago
@Prasu :-
Cost Price = [ (100)/(100+gain%)]* Selling price
= [100/120]x
Cost Price = [ (100)/(100+gain%)]* Selling price
= [100/120]x
Raj said:
1 decade ago
In given explanation,
I-> x is list price
II-> x is selling price
So how did you equte them?
I-> x is list price
II-> x is selling price
So how did you equte them?
Prasu said:
1 decade ago
How do you get the cost price?
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers