Multiple choice

The average weight of Sanjay, Mohan and Charu is 80 kg. Kamal joins them and the average weight of the four becomes 81 kg. If Ram whose weight is 2 kg more than Kamal replaces Sanjay, then the average weight of Mohan, Charu, Kamal and Ram becomes 83 kg. Find the weight of Sanjay?

  1. 80

  2. 85

  3. 78

  4. 70

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Sanjay + Mohan + Charu = 80 × 3 = 240 kg. Adding Kamal: (240 + Kamal)/4 = 81, so Kamal = 324 - 240 = 84 kg. Ram = Kamal + 2 = 86 kg. New average: Mohan + Charu + Kamal + Ram = 83 × 4 = 332 kg. Substituting: (240 - Sanjay) + 84 + 86 = 332, so Sanjay = 410 - 332 = 78 kg.