The average weight of Rupesh, Mandar and Ketan is 45 kg. If the average weight of Rupesh and Mandar is 43 kg and that of Mandar and Ketan is 45 kg, then the weight of Mandar (in kg) is:

Correct option is B

Given:

- Average weight of Rupesh, Mandar and Ketan = 45 kg => Total = 45 × 3 = 135 kg

- Average weight of Rupesh and Mandar = 43 kg => Total = 43 × 2 = 86 kg

- Average weight of Mandar and Ketan = 45 kg => Total = 45 × 2 = 90 kg

Formula Used:

- Average = Total / Number of persons

- To find individual weights, use equations or logical deduction:

Solution:

Let the weights of Rupesh = R, Mandar = M, Ketan = K

From total of all three: R + M + K = 135 …(1)

From total of Rupesh and Mandar: R + M = 86 …(2)

From total of Mandar and Ketan: M + K = 90 …(3)

Subtract equation (2) from (1): (R + M + K) - (R + M) = 135 - 86

=> K = 49

Now subtract equation (3): M + K = 90 => M + 49 = 90 => M = 41

Final Answer: The weight of Mandar is 41 kg