Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - Data Sufficiency 4 (Q.No. 1)
Directions to Solve

Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.


1.

What is the percent profit earned by the shopkeeper on selling the articles in his shop?

I. 

Labeled price of the articles sold was 130% of the cost price.

II. 

Cost price of each article was Rs. 550.

 III. 

A discount of 10% on labeled price was offered.

Only I
Only II
I and III
All the three are required
Question cannot be answer even with information in all the three statements.
Answer: Option
Explanation:

  I. Let C.P. be Rs. x.

Then, M.P. = 130% of x = Rs. 13x .
10

III. S.P. = 90% of M.P.

Thus, I and III give, S.P. = Rs. 90 x 13x = Rs. 117x
100 10 100

Gain = Rs. 117x - x = Rs. 17x
100 100

Thus, from I and III, gain % can be obtained.

Clearly, II is redundant.

Discussion:
25 comments Page 1 of 3.

Divya said:   1 year ago
Shouldn't it be B? Please explain.

Soumit said:   2 years ago
From the (i) we can make CP = 100 and MP = 130.
From the (iii) we can make SP = 117.
And now we can calculate profit %.
(17/100) * 100 = 17% profit.
(3)

Nitin said:   2 years ago
If s.p = 130% of c.p then s.p = 1.3c.p
(s.p-c.p)/c.p * 100.
(1.3cp - c.p) /c.p *100.
Let cancelled c.p
0.3*100
30% profit gain I thing option I only.
(2)

Nitin said:   2 years ago
If s.p = 130% of c.p then s.p = 1.3c.p.
(s.p-c.p)/c.p * 100.
(1.3cp - c.p) /c.p *100.
Let's cancel c.p.
0.3 * 100.
30% profit gain. So, I think option I only.
(1)

Onkar said:   3 years ago
Isn't the answer should be B, because statement 2 is redundant and we have to find redundant statements right?
(2)

Yash said:   4 years ago
No @Showry.

The p% is 107%.
(588.5*100)/550 = 107%.

Sunil said:   6 years ago
No, Option 2 is correct because it's been asked redundant one.

Divyanshu said:   8 years ago
But in question what asked is that which option is redundent so option 2 should be correct.

Susheel Kumar said:   8 years ago
Assume cp is x.
so Mp is 1.3x.
and the discount is 10 of mp.
So sp is 1.17 x.
Make linear equation cp always can side 100%
x=100%.
1.17x=Y%.
by the cross multiplication get Y%.
profit is (Y-100)%.

No need to consider no of articles because they cancel each other.
So the answer is 1 and 3.

Harsh said:   9 years ago
Since it is asked which is redundant, so the answer should be "B) Only II". Since other two are required to answer.


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