After Ken's funeral, his wife Helen decided to offer his collection of CDs to members of his local Jazz Club.As there were so many CDs, it was not possible for all of them to take some home, so 60% of the collection was put into a box from which members could take the ones they wanted. By the end of the meeting half of these had been taken.A week later, a further 30% of the original collection was added to the box. During this meeting three quarters of the CDs in the box were taken.At the third meeting, the rest of the collection was added to the box. There were now 40 CDs for the members to choose from.How many CDs were there in the original collection?

Correct answer: C. 250

A. 64
B. 160
C. 250
D. 400

Explanation

To solve this problem, we need to track how many CDs were taken at each meeting and how many were left. By analyzing the information provided in the question, we can see that the original collection had 250 CDs. At the first meeting, 60% were put in the box, and half of those were taken. At the second meeting, 30% of the original collection was added, and three-quarters of the CDs in the box were taken. Finally, at the third meeting, the rest of the collection was added, resulting in a total of 40 CDs in the box. This process leads us to the conclusion that the original collection consisted of 250 CDs. The other options do not match the logic and calculations presented in the question.

Last updated 3 September 2026

Related questions