If the average incomes of $A$ and $B$, $B$ and $C$ and $C$ and $A$ are Rs. 190 , Rs. 210 , Rs. 200 respectively, then find the income of $A$.
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If the average incomes of $A$ and $B$, $B$ and $C$ and $C$ and $A$ are Rs. 190 , Rs. 210 , Rs. 200 respectively, then find the income of $A$.

(a) Rs. 190

(b) Rs. 180

(c) Rs. 185

(d) Rs. 195
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Solution-

Total income of $A$ and $B$


$=2 \times 190=$ Rs. 380

Total income of $B$ and $C$

$=2 \times 210=$ Rs. 420

Total income of $C$ and $A$

$

\begin{array}{c}

\quad=200 \times 2=\text { Rs. } 400 \\

\therefore \quad A+B+B+C+C+A \\

\quad=380+420+400 \\

\quad=\text { Rs. } 1200 \\

\Rightarrow \quad 2(A+B+C)=\text { Rs. } 1200 \\

\therefore \quad A+B+C=\frac{1200}{2}=\text { Rs. } 600

\end{array}

$

$$

\begin{aligned}

\therefore \quad \text { The income of } A \\

&=600-420 \\

&=\text { Rs } 180 ; \text { Ans. }

\end{aligned}

$$

Correct option is B

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