The question given below is followed by three statements (I), (II), and (III). Which of the following statement or statements is/are required to answer the given question?
The ratio of the number of pens available to the number of pencils sold by a shopkeeper is 2 : 1. Find the number of pencils sold by the shopkeeper?
Statement (I) : The number of pencils sold is 300 less than the number of pens sold by the shopkeeper.
Statement (II) : The number of pens sold by the shopkeeper is half of the total number of articles (pens + pencils) available to him.
Statement (III) : The number of pencils sold by shopkeepers is 71.428% less than the total number of articles (pens + pencils) available to him.
1
(I) and (III) together are sufficient.
2
(II) and (III) together are sufficient.
3
Either of the two statements together are sufficient.
4
All three statements together are sufficient.
5
All three statements together are not sufficient.