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If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& \therefore {\text{Required}}\,{\text{average}} \cr
& = {\frac{{55 \times 50 + 60 \times 55 + 45 \times 60}}{{55 + 60 + 45}}} \cr
& = {\frac{{2750 + 3300 + 2700}}{{160}}} \cr
& = \frac{{8750}}{{160}} \cr
& = 54.68 \cr} $$
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