XAT 2020 — QA & DI Question 3
Nalini has received a total of 600 WhatsApp messages from four friends Anita, Bina, Chaitra and Divya. Bina and Divya have respectively sent 30% and 20% of these messages, while Anita has sent an equal number of messages as Chaitra. Moreover, Nalini finds that of Anita’s, Bina’s, Chaitra’s and Divya’s messages, 60%, 40%, 80% and 50% respectively are jokes. What percentage of the jokes, received by Nalini, have been sent neither by Divya nor by Bina?
Answer & solution
- A
65.12
61.4
- C
57
- D
38.6
- E
34.88
Number of messages send by Bina = 30% of 600 = 180
Number of messages send by Divya = 20% of 600 = 120
Remaining messages (300) are sent by Anita and Chitra equally i.e., Anita and Chitra sent 150 messages each.
Jokes sent by Anita = 60% of 150 = 90
Jokes sent by Bina = 40% of 180 = 72
Jokes sent by Chitra = 80% of 150 = 120
Jokes sent by Divya = 50% of 120 = 60
Total Jokes sent = 90 + 72 + 120 + 60 = 342
∴ Percentage of jokes that were neither sent by Bina or Divya = 210/342 × 100 = 61.4%
Hence, option (b).