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The average weight of five persons sitting in a boat is 38 kg. The average weight of the boat and the persons sitting in the boat is 52 kg. What is the weight of the boat ?

A. 228 kg B. 122 kg C. 232 kg D. 242 kg Answer: Option B
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Solution(By Apex Team)

Let the five persons be A, B, C, D, E According to the question, $\begin{aligned}&=\frac{A+B+C+D+E}{5}=38\mathrm{~kg}\\ &=\mathrm{A}+\mathrm{B}+\mathrm{C}+\mathrm{D}+\mathrm{E}=190\mathrm{~kg}\ldots..(\mathrm{i})\\ &\frac{5\text{ persons }+\text{ Boat }}{6}=52\\ &5\text{ persons }+\text{ Boat }=312\mathrm{~kg}\ldots..\left(ii\right)\end{aligned}$ ∴ Boat’s weight = 312 – 190 = 122 kg

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