The average income of 40 persons is 4200 Rs. and that of an other 35 persons is 4000 Rs. The average income of the whole group is :

The average income of 40 persons is 4200 Rs. and that of an other 35 persons is 4000 Rs. The average income of the whole group is :
[A]4108 \frac{1}{3}Rs.
[B]4106 \frac{2}{3}Rs.
[C]4100 Rs.
[D]4106 \frac{1}{3}Rs.

\mathbf{4106 \frac{2}{3}}Rs.
Average income of whole group =
= \frac{4200\times 40+4000\times 35}{75}
= \frac{168000+140000}{75}
= \frac{308000}{75} = 4106\frac{2}{3}Rs.
Hence option [B] is the right answer.

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