16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of group B ?

A \(\frac{223}3\)

B \(\frac{253}4\)

C \(\frac{273}5\)

D \(\frac{233}3\)

Solution

Correct Answer: Option D

 Required average = \(\frac{\lbrack(76\;\times\;16)\;-\;(75\;\times\;10)\rbrack}6\)

                           = \(\frac{(1216\;-\;750)}6\)

                           = \(\frac{466}6\)

                           =  \(\frac{233}3\)

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