Question

Assume there are four families in a country the average per capita income of these families is 5000 rupees if the income of three families is 3000 ruppes, 7000 rupees and 4000 rupees. what is the income of fourth family​

Answer 1

Explanation:

Per capita income is the total income of the country/state divided by the number of people in that country/state.

Here total four families. The average per capita income (5000) is equal to (4000+7000+3000+x) / 4

Income of fourth family is Rs. 20,000 - Rs. 14,000 = Rs. 6,000.

Answer 2

The income of the 4th family is Rs.6000.

Explanation:

• We know,that in Mathematics,average or mean value of any variable is calculated by dividing the total sum or addition of all the items or values within that particular variable by the total number of items or values present in that variable.
• Here,the average or mean per capita income of the 4 families is Rs.5000 and the individual incomes of 3 families are Rs.3000,Rs.7000 and Rs.4000 respectively.
• Now,let's suppose that the income of the 4th family is unknown "x".Therefore,the average per capital income of all the 4 families can be expressed as:-

$\frac{(3000+7000+4000+x)}{4} =5000$

$14000+x=20000$

$x=20000-14000$

$x=6000$

• Therefore,the income of the 4th family is Rs.6000.