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

Question

Question

This question was previously asked in

SSC GD Constable 2025 Official Paper (Held On: 06 Feb, 2025 Shift 1)

Answer 1

Formula used:

Average weight = Total weight ÷ Number of persons

Total weight of Rupesh, Mandar, and Ketan = 3 × Average weight

Total weight of Rupesh and Mandar = 2 × Average weight

Total weight of Mandar and Ketan = 2 × Average weight

Calculations:

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

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

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

Let Mandar's weight = M, Rupesh's weight = R, and Ketan's weight = K

R + M + K = 135

R + M = 86

M + K = 90

From R + M = 86:

⇒ R = 86 - M

From M + K = 90:

⇒ K = 90 - M

Substitute R and K into R + M + K = 135:

⇒ (86 - M) + M + (90 - M) = 135

⇒ 86 + 90 - M = 135

⇒ 176 - M = 135

⇒ M = 176 - 135

⇒ M = 41

∴ The weight of Mandar is 41 kg, and the correct answer is option (3).