Question : The average weight of 45 students of a school is 55 kg. If the weight of the teacher is included, the average weight rises by 500 grams. Find the weight (in kg ) of the teacher.
Option 1: 78
Option 2: 77
Option 3: 79
Option 4: 80
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Correct Answer: 78
Solution :
Total weight of students initially $= 45 \times 55 = 2475$ kg
Let the weight of the teacher be $x$.
Total number of people now = 46
According to the problem,
$\frac{2475+x}{46} = 55+\frac{500}{1000}$
$⇒\frac{2475+x}{46} = 55+0.5$
$⇒2475+x = 55.5\times 46$
$⇒2475+x= 2553$
$\therefore x = 78$ kg
Hence, the correct answer is 78 kg.
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