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 |
![]() |
![]() |
19x | - | 5x | ![]() |
= | ![]() |
57x - 50x | ![]() |
= | 7x |
20 | 6 | 60 | 60 |
![]() |
![]() |
7x | x | 6 | x 100 | ![]() |
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.
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.
Thanks for explaining the solution.
Jey ShreeMen G.R. said:
5 years ago
@Sandy.
Thanks for your explanation.
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%.
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.
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.
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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