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(A) To find the combined mean of the two classes,we use the formula for the weighted mean:Combined Mean $= \frac{n_1 \bar{x}_1 + n_2 \bar{x}_2}{n_1 +

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$40$

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(A) To find the combined mean of the two classes,we use the formula for the weighted mean:Combined Mean $= \frac{n_1 \bar{x}_1 + n_2 \bar{x}_2}{n_1 + n_2}$Here,$n_1 = 100$,$\bar{x}_1 = 30$,$n_2 = 50$,and $\bar{x}_2 = 60$.Total marks obtained by $100$ students $= 100 	imes 30 = 3000$.Total marks obtained by $50$ students $= 50 	imes 60 = 3000$.Total marks obtained by all $150$ students $= 3000 + 3000 = 6000$.Combined mean $= \frac{6000}{150} = 40$.

In a class of $100$ students,the mean marks obtained in a subject is $30$ and in another class of $50$ students the mean marks obtained in the same subject is $60$. The mean marks obtained by the students of two classes taken together is

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