Question

Assume there are five families in a country.The average per capita income of these families is Rs. 5000.If income of four families is Rs. 4000 , Rs.7000 , Rs. 3000 , Rs. 1000 respectively, What is the income of the fifth family ?
7500
9000
5000
10000​

Answer 1

GIVEN :–

• The average per capita income of these families is Rs. 5000.

• Income of four families is Rs. 4000 , Rs.7000 , Rs. 3000 , Rs. 1000 respectively.

TO FIND :–

• Income of the fifth family ?

SOLUTION :–

• We know that –

$\\ \dashrightarrow { \boxed{ \bold{Average = \dfrac{Total \: \: sum \: \: of \: \: all \: \: number}{Number \: \: of \: \: all \: \: item \: \: in \: \: the \: \: set}} }}$

• Put the values –

$\\ \implies { \bold{5000 = \dfrac{4000 + 7000 + 3000 + 1000 +Income \: \: of \: \: fifth \: \: family}{5}}}$

$\\ \implies { \bold{5000 = \dfrac{11000 +4000 +Income \: \: of \: \: fifth \: \: family}{5}}}$

$\\ \implies { \bold{5000 \times 5 = 15000 +Income \: \: of \: \: fifth \: \: family}}$

$\\ \implies { \bold{25000 = 15000 +Income \: \: of \: \: fifth \: \: family}}$

$\\ \implies { \bold{25000 - 15000 = Income \: \: of \: \: fifth \: \: family}}$

$\\ \implies \large{ \boxed{ \bold{Income \: \: of \: \: fifth \: \: family = 10000}}}$

▪︎ Income of the fifth family is 10,000 Rs.

▪︎ Hence , Option (d) is correct .

Answer 2

Answer:

Explanation:

${\red{\underline{\underline{\bold{Given:-}}}}}$

•The average per capita income of five families is ₹5000

•The income of four families is Rs. 4000 , Rs.7000 , Rs. 3000 , Rs. 1000 respectively.

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

• The income of the fifth family

${\green{\underline{\underline{\bold{Solution:-}}}}}$

$\tt\pink{Formula\:used\:here}$

$\tt\boxed{Average \:income = \frac{Total\:income \:of\:5\:families}{Total\:number \:of\: families}}$

Let the income of fifth family be ' x '

$\implies 5000 = \frac{4000+ 7000+3000+1000+x}{5} \\\\</p><p></p><p>\implies 5000 \times 5 = 15000+x \\\\</p><p></p><p>\implies 25000 = 15000+x \\\\</p><p></p><p>\implies x = 25000-15000 \\\\</p><p></p><p>\implies x = 10000$

$\large\purple{\underline{{\boxed{\textbf{The \:income\:of\:fifth\:family = Rs. 10000}}}}}$