Let the number of boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 35 kg joins the group, total weight of boys = 30x + 35
So 30x + 35 + 31(x + 1) = > x = 4.
Let average for 10 innings be x. Then,
(10x + 108)/11 = x + 6 => 11x + 66 = 10x + 108 => x = 42.
New average = (x + 6) = 48 runs.
Let the original avg expenditure be x
Total expenditure = 35x
?35x + 42 = (x-1) X 42
?35x + 42 = 42x ?42
?7x = 84
?x = 12
So, initial expenditure = 12 X 35 = 420
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