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Profit and Loss - General Aptitude

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.
Q1:

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

ANS:E - None of these

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).