Aptitude - Profit and Loss - Discussion
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.
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. |
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).
For 0% discount, any of the options should mention MP then only using 3 we can say that since CP is given and by using 1 we can find SP and as SP and MP are same the discount is 0%. But, this is not the case so the answer should be A (only 1 and 2).
The discount from 1and 2 we can easily calculate whereas discount from 1and 3 is 0 aa given no disconut. Since both are possible results hence non of these is correct as correct answer is also possible by removing given answers. So none of these is the correct one.
IIIrd statement is redundant, we can solve this problem using statement I & II or I, II & III.
But they had asked the necessary statements required to answer the question, so I & II are sufficient to answer the question. Therefore option A should be the answer.