In a cricket team of 11 boys, one player weighing 42 kg is injured and his place is taken by another player. If the average weight of the team, as a result of this, is increased by 100 grams, then the new player weighs.
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$44.0 kg.$
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$42.1 kg.$
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$43.1 kg.$
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$44.4 kg.$
C
Correct answer
Explanation
Let original average = x kg. Original total = 11x. New total = 11(x + 0.1) = 11x + 1.1. New player = (11x - 42) + 1.1 = 11x - 40.9. But wait, the increase is 100 grams = 0.1 kg per person, so total increase = 11 × 0.1 = 1.1 kg. New player weight = 42 + 1.1 = 43.1 kg. The average increased, so new player must be heavier.