Profit and Loss Data Sufficiency 3
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Aptitude :: Profit and Loss
@ : Home > Aptitude > Profit and Loss > Data Sufficiency 3
Overview
Important Formulas
Exercise
General Questions
Data Sufficiency 1
Data Sufficiency 2
Data Sufficiency 3
Data Sufficiency 4
"In the middle of difficulty lies opportunity."
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.
A.Only I and II B.Only II and II
C.Only I and III D.All I, II and III
E.None of these
Answer & Explanation
Answer: Option A
Explanation:
I. Let the list price be Rs. x.
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Then, S.P. = 95% of Rs. x = Rs. x x95
= 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
x6
x 100% = 14%.60 5x
Thus, I and II only give the answer.
Correct answer is (A).
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2. What was the percentage of discount given?
I. 23.5% profit was earned by selling an almirah for Rs. 12,350.
II. If there were no discount, the earned profit would have been 30%.
III. The cost price of the almirah was Rs. 10,000.
A. Only I and II
B. Only II and III
C. Only I and III
D. Any two of the three
E. None of these
Answer & Explanation
Answer: Option E
Explanation:
I. S.P. = Rs. 12350, Gain = 23.5%
C.P. = Rs.100
x 12350 = Rs. 10,000.123.5
II. M.P. = 130% of C.P. = 130% of Rs. 10,000 = Rs. 13,000.
From I and II, discount = Rs. (13000 - 12350) = Rs. 650.
Discount % =650
x 100% = 5%.13000
Thus, I and II give the answer.
II and III can not give the answer. Because we require profit percentage with
discount and profit percentage without discount. So II and III are not sufficient.
Since III gives C.P. = Rs. 10,000, I and III give the answer.
Therefore, I and II [or] I and III give the answer.
Correct answer is (E).
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Read more:
Profit and Loss - Important Formulas
Profit and Loss - Data Sufficiency 4
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