Direction: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and Read both the statements and give answer
-
How many items did the distributor purchase?
I. The distributor purchased all the items for $ 4500.
II. If the distributor had given $ 5 more for each item he would have purchased 10 items less.
-
- If the data in statement I alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- If the data either in statement I alone or in statement II alone are sufficient to answer the question.
- If the data even in both statements I and II together are not sufficient to answer the question.
- Hence, both statements together are sufficient
- If the data in statement I alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
Correct Option: E
From statement I,
| Rate of an item = | 4500 | = | ....(1) |
| n |
Here, n = total number of items
Combining statement II and (i), we have
 | 4500 | + 5  | ( n - 10 ) = 4500 |
| n |
⇒ n2 - 10n - 9000 = 0 ∴ n= 100
Hence, both statements together are sufficient.
