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A survey was conducted to know about the inactive accounts on Facebook, Twitter and Whatsapp. Only people having the accounts on all the three participated in the survey. It was found that 85% of the people are active on Facebook, 60% are active on Twitter and 95% are active on Whatsapp. What percentage of the total accounts are inactive?

A survey was conducted to know about the inactive accounts on Facebook, Twitter and Whatsapp. Only people having the accounts on all the three participated in the survey. It was found that 85% of the people are active on Facebook, 60% are active on Twitter and 95% are active on Whatsapp. What percentage of the total accounts are inactive? Correct Answer 20%

Let ‘x’ people participated in the survey

∵ Only people having all three accounts participated in the survey

⇒ No. of Facebook accounts = No. of Twitter accounts = No. of Whatsapp accounts = x

Now, 85% are active on Facebook

⇒ No. of inactive Facebook accounts = (100 – 85)% of x = 15% of x = 0.15x

Similarly, 60% are active on Twitter

⇒ No. of inactive Twitter accounts = (100 – 60)% of x = 40% of x = 0.4x

Also, 95% are active on Whatsapp

⇒ No. of inactive Whatsapp accounts = (100 – 95)% of x = 5% of x = 0.05x

⇒ Total no. of inactive accounts = 0.15x + 0.4x + 0.05x = 0.6x

∵ Total no. of accounts = 3x

∴ Percentage of inactive accounts = 0.6x/3x × 100 = 20%

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