Discussion :: Profit and Loss

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.
Answer : Option E
Explanation :
I. S.P. = Rs. 12350, Gain = 23.5%
C.P. = Rs.\( [\frac { 1 00} { 123.5 }\)x 12350]  = Rs. 10,000.  
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 % = \( [\frac { 650 } { 13000} \)  x 100] % = 5%  
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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