Question 61

The average weight of a certain number of persons in a group was 75.5 kg. Later on, 4 persons weighing 72.6 kg. 74 kg, 73.4 kg and 70 kg joined the group. As a result, the average weight of all persons in the group reduced by 500g. The number of persons in the group, initially, was

Let the number of people be 'x'
Sum of the weights=75.5x
72.6 kg. 74 kg, 73.4 kg and 70 kg were added and average decreased to 75
Sum=290 kgs
Total sum=75.5x+290
Average=(75.5x+290)/(x+4)
(75.5x+290)/(x+4)=75
75.5x+290=75x+300
0.5x=10
x=20 people

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