QUESTION :
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
(a) 47.55 kg
(b) 48 kg
(c) 48.55 kg
(d) 49.25 kg
Correct Answer – 48.55 kg
Formula to Solve: Average Weight =Total Weight * Number of boys.
(Please Note: The * Denotes – Divide )
Detailed Explanation :
Given –
- Average weight of 16 boys = 50.25 kg
- The average weight of remaining 8 boys = 45.15 kg
To find: The Average weight of all the boys in the class
Solution: Step by Step
Step 1: Find the total weight of the 16 boys
Total weight of 16 boys = Average weight of 16 boys * Number of boys
= 50.25 kg * 16
= 804 kg
Step 2: Find the total weight of the remaining 8 boys
Total weight of 8 boys = Average weight of 8 boys * Number of boys
= 45.15 kg * 8
= 361.2 kg
Step 3: Find the total weight of all the boys
Total weight of all the boys = Total weight of 16 boys + Total weight of 8 boys
= 804 kg + 361.2 kg
= 1165.2 kg
Step 4: Find the average weight of all the boys
Average weight of all the boys = Total weight of all the boys / Total number of boys
= 1165.2 kg / 24 boys
= 48.55 kg (rounded off to two decimal places)
Therefore, the average weight of all the boys in the class is 48.55 kg.
Answer: Option A (48.55)
Also Read: Average Cost Questions: Formulas and Solved Examples | Quantitative Aptitude
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