Question

In a club, there are 180 members. For every 8
members who like Delhi, there are 4 members who
Ike Mumbai. For every 20 members who like Delhi,
there are 10 members who like both
Delhi and Mumbai and 10 members like neither Delhi
nor Mumbai
How many members like delhi only?
1)100
​2) 80
3) 60
4)120​

Answer 1

Answer: Let the no. of female members be x.

So, the no. of male members is (180-x).

According to question;

(180-x)=x+40%of x.

(180-x)=x+40/100*x.

(180-x)=x+2x/5.

Take 5 as LCM on Left Hand Side;

(180-x)=(5x+2x)/5.

(180-x)=7x/5.

Transfer 5 from RHS to LHS;

900-5x=7x.

Transfer -5x from LHS to RHS;(It will become positive)

900=7x+5x.

900=12x.

x=900/12.

x=75.

So, female members = 75.

Male members = 180-75.

= 105.

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