Average weight of Shikhar, Rohit and Virat is 72 kg. Hardik joins the group and the average now becomes 65 kg. If Dhoni whose weight is 8 kg more than that of Hardik replaces Shikhar then the average weight of Rohit, Virat, Hardik and Dhoni becomes 53 kg. The weight of Shikhar (in kg) is

Solution

According to the question, Average weight of Shikhar, Rohit and Virat = 72 kg Total weight of Shikhar + Rohit + Virat = 72 × 3 = 216 kg . Total weight of Shikhar + Rohit + Virat + Hardik = 65 × 4 = 260 kg -------(i) Weight of Hardik = 260 – 216 = 44 kg Weight of Dhoni = 44 + 8 = 52 kg Average weight of Rohit, Virat, Hardik and Dhoni = 53kg Total weight of Rohit + Virat + Hardik + Dhoni = 53 × 4 = 212 kg ................. (ii) Deducting  (i) from (ii), Dhoni -  Shikhar = 212 – 260 52 – Shikhar = -48 Weight of Shikhar = 52 +48 kg = 100kg