Multiple choice

The average weight of 5 people in a group is 60 kg. A new person joins, and the average increases to 61 kg. Now, a person left the group, such that the weight of the person who left and the weight of the new person were in the ratio of 3:4 . What was the weight of the person who left?

  1. 48.8

  2. 58.8

  3. 89.4

  4. 49.5
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Initial total = 5 * 60 = 300. After new person (weight Wn), total = 6 * 61 = 366. So Wn = 66. Ratio of left person (Wl) to Wn is 3:4. Wl = (3/4) * 66 = 49.5.

AI explanation

The original total weight of the 5 people is 5 times 60, equaling 300 kg. When a new person joins, the total weight for 6 people becomes 6 times 61, which is 366 kg, meaning the new person weighs 66 kg. The ratio of the weight of the person who left to the new person is 3 to 4, so multiplying 66 kg by 3/4 gives the weight of the person who left as 49.5 kg.

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