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).
The correct explanation is; 1 and 2 OR 1, 2 and 3 can give us the answer (either 1 or 3 can be redundant). The option 'ONLY' 1 and 2 is hence wrong.
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.
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).
Here 1 & 3 can't give the discount % as no info regarding discount can be gathered there. I and III can't give the percentage of the discount.
As discount % = 100(MP-SP)/MP.
I give info about SP and CP can be calculated.
II helps calculate MP=130%(CP). {MP is SP without any discount}
Thus discount % = 5% using I and II info.
III gives CP directly.
I and III give CP and SP but not MP so the discount can't be calculated.
II and III give MP and CP but not SP so discount can't be calculated.