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In a group of 90 members, 50 members like Black pen, 35 members like Red pen and 20 members do not like any pen, then find the number of members in the group who like both Red and Black pen?

In a group of 90 members, 50 members like Black pen, 35 members like Red pen and 20 members do not like any pen, then find the number of members in the group who like both Red and Black pen? Correct Answer 15

Given:

Total members in the group = 90

Members like Black pen = 50

Members like Red pen = 35

Members do not like any pen = 20

Calculation:

Let the number of member in the group who like both Red and Black pen be M

Total members = Members like Black pen + Members like Red pen + Members do not like any pen – Member like both the Pen 

90 = 50 + 35 + 20 – M

⇒ M = 105 – 90

⇒ M = 15

∴ The number of members in the group who like both Red and Black pen are 15

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