Question
Download Solution PDFRam, Shyam, Rohan, Reeta and Mukesh are five members of a family who are weighed consecutively and their average weight is calculated after each member is weighed. If the average weight increases by 2 kg each time, how much heavier is Mukesh than Ram?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Ram, Shyam, Rohan, Reeta, and Mukesh are five members of a family who are weighed consecutively and their average weight is calculated after each member is weighed.
The average weight increases by 2 kg each time.
Concept used:
Total = Average × Number of entities
Calculation:
Let the weight of Ram be Q kg.
Average weight = Q kg
According to the question,
After adding Shyam, the average weight = (Q + 2) kg
Weight of Shyam = 2(Q + 2) - Q = (Q + 4) kg
After adding Rohan, the average weight = (Q + 4) kg
Weight of Rohan = 3(Q + 4) - Q - (Q + 4) = (Q + 8) kg
After adding Reeta, the average weight = (Q + 6) kg
Weight of Reeta = 4(Q + 6) - Q - (Q + 4) - (Q + 8) = (Q + 12) kg
After adding Mukesh, the average weight = (Q + 8) kg
Weight of Mukesh = 5(Q + 8) - Q - (Q + 4) - (Q + 8) - (Q + 12) = (Q + 16) kg
Now, Mukesh is heavier than Ram by = (Q + 16) - Q = 16 kg
∴ Mukesh is heavier than Ram by 16 kg.
Last updated on Jun 13, 2025
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