Suppose the average weight of 9 persons is 50 kg. The average weight of the first 5 persons is 45 kg, whereas the average weight of the last 5 persons is 55 kg. Then the weight of the 5th person will be
- A.45 kg
- B.47.5 kg
- C.50 kg
- D.52.5 kg
▶ Answer & Explanation
Correct answer: C. 50 kg
The total weight of all 9 people is the sum of the weights of the first 5 and the last 5, minus the weight of the 5th person (who is counted twice). If the total weight of all 9 is 9 * 50 = 450 kg, the combined weight of the first 5 is 5 * 45 = 225 kg, and the combined weight of the last 5 is 5 * 55 = 275 kg. The sum of these two groups is 225 + 275 = 500 kg. This excess (500 - 450 = 50 kg) represents the weight of the 5th person, as they were included in both group calculations.
Source: UPSC csat 2017