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Question

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

A 54 Correct Answer Incorrect Answer
B 58 Correct Answer Incorrect Answer
C 52 Correct Answer Incorrect Answer
D 56 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

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

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