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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