Question

Assume that : there are 4 families in a country. The average per capita income of these family is Rs5000. If income of 3 families isRs4000, Rs7000 and Rs3000respectively, what is the income of the fourth family?

Answer 1

Answer:

6000 it is the correct answer

Explanation:

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Answer 2

The income of the fourth family is Rs.6000.

Explanation:

In Mathematics,the average or mean of any component or numbers in a data set is calculated by dividing the sum or addition of all the concerned components of numbers by the total number of components present in the set.Here,the income of the 3 families are given as Rs. 4000,Rs. 7000 and Rs. 3000.The total number of families are 4.The average per capita income of all the 4 families is given as Rs. 5000

Therefore,the sum of the incomes of the 3 families=$(4000+7000+3000)=14,000$ rupees

Now,suppose the income of the fourth family is unknown x.

Hence,based on the mathematical formula to calculate average or mean,we can state:-

$\frac{(14,000+x)}{4}=5000$

$14,000+x=20,000$

$x=20,000-14,000$

$x=6000$

Therefore,the income of the fourth family is Rs.6000.