15 views
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

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

by
7.2k Points

## Related Questions

1 Vote
1 Answer 19 Views
19 views
1 Vote
1 Answer 17 Views
17 views
1 Vote
1 Answer 24 Views
24 views
1 Vote
1 Answer 22 Views
22 views
1 Answer 23 Views
23 views
1 Answer 30 Views
30 views
1 Vote
1 Answer 29 Views
29 views
1 Vote
1 Answer 34 Views
34 views