Question

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?

• A. 65.12
• B. 38.6
• C. 61.4
• D. 57
• E. 34.88

Answer 1

The Correct Option is C

Nalini receives a total of 600 messages from Anita, Bina, Chaitra, and Divya. We need to find the percentage of jokes sent neither by Divya nor by Bina.

1. Determine Messages Sent by Bina and Divya:

• Bina's messages: 30% of 600 = 0.3 × 600 = 180
• Divya's messages: 20% of 600 = 0.2 × 600 = 120

2. Determine Messages Sent by Anita and Chaitra:

• Total messages by Bina and Divya: 180 + 120 = 300
• Total for Anita and Chaitra: 600 - 300 = 300
• Messages by Anita = Messages by Chaitra: 300 ÷ 2 = 150 each

3. Calculate Number of Jokes Sent by Each:

• Anita: 60% are jokes, so 0.6 × 150 = 90 jokes
• Chaitra: 80% are jokes, so 0.8 × 150 = 120 jokes
• Bina: 40% are jokes, so 0.4 × 180 = 72 jokes
• Divya: 50% are jokes, so 0.5 × 120 = 60 jokes

4. Total Number of Jokes:

• Total jokes = 90 + 120 + 72 + 60 = 342

5. Jokes Sent Neither by Bina nor by Divya:

• Total from Anita and Chaitra: 90 + 120 = 210 jokes

6. Calculate Percentage of Jokes Sent by Neither Bina nor Divya:

• Percentage = (210 ÷ 342) × 100 ≈ 61.4%