Difficult Pie Charts Solved QuestionData Interpretation Discussion

Common Information

Six friends — Anand, Bimal, Praveen, Kiran, Yashwanth and Rohan — availed a new SMS offer, according to which there will be no charges for the SMSs sent or received within the group. The following pie charts pertain to the details regarding the number of SMSs sent by these persons within the group during the month of October.

The first pie chart gives the break-up of total number of SMSs received by Anand from his five friends in October according to the friend from whom he received the SMSs and the second pie chart gives the break-up of the total SMSs sent by these five persons within the group (i.e., excluding Anand) in the same month according to the person sending the SMSs.

Assume that SMSs sent are received instantly and also the number of SMSs sent by each person is always an integer. For all the following questions, consider only the SMSs sent by the persons within the group in the month of October.

 Q. Common Information Question: 3/4 Additional information for questions 18 and 19: It is also known that at least 25% of the SMSs sent by Bimal are to Anand and at most 40% of the SMSs sent by Yashwanth are to Anand. What is the maximum possible number of persons who have sent more than 80% of their SMSs to Anand?
 ✖ A. 1 ✔ B. 3 ✖ C. 4 ✖ D. 5

Solution:
Option(B) is correct

$= \dfrac{10}{100}× 3000$

$= 300$

Similarly messages received from Praveen, Kiran, Yashwanth and Rohan are 750, 600, 450 and 900 respectively.

From the required values for Bimal and Yashwanth are:

$2000/N$ and $1800/N$ respectively.

$\dfrac{2000}{N} ≥ 0.25$

⇒ $N ≤ 8000$

The number of persons will be maximum for$N = 4500$

⇒ Messages sent by Bimal, Praveen, Kiran, Yashwanlh and Rohan are 675, 900, 720, 1125 and 1080 respectively.

The percentages are 44.44%, 63.33%, 83.33%, 40% and 83.33% respectively.

Three persons have more than 80% of their messages sent to Anand.

(4) Comment(s)

Surbhi
()

how you got that maximum persons will occur for 4500

Asfandyar
()

Page
()

why $3?$

shouldn't the ans be 2 only?

Aarti
()

You need to look closer.