1.

In a Joint family of 4 males and some female members, all members are working and the average monthly income per head is Rs.21750; while the average monthly income of male members is Rs.24000 per head and for female members it is Rs.18750 per head. The number of female members in the family is:1). 42). 33). 74). 5

Answer»

According to the given INFORMATION,

Number of male MEMBERS = 4

Let the number of FEMALE members be y.

We know that, Average = Sum of all observations/Number of observations

The average monthly income of male members is Rs.24000 per head

∴ 24000 = TOTAL monthly income of males/4

⇒ Total monthly income of males = 24000 × 4 = 96000

The average monthly income of female members is Rs.18750 per head

∴ 18750 = Total monthly income of females/y

⇒ Total monthly income of females = 18750y

Now, total average monthly income = (Income of males + Income of females)/(males + females)

$(\therefore 21750 = \;\frac{{96000 + 18750y}}{{4 + y}})$

⇒ 87000 + 21750y = 96000 + 18750y

⇒ 3000y = 9000

⇒ y = 3

Hence, the number of female members is 3.


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