Weight of a bucket when filled fully with water is 17 kg. If the weight of the bucket when half filled with water is 13.5 kg, what is the weight of empty bucket?

A. 12 kg

B. 8 kg

C. 10 kg

D. 7 kg

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{Bucket}} + {\text{full water}} = {\text{17 kg}} \cr & \therefore {\text{Water}} = 2 \times 3.5 = 7\,{\text{kg}} \cr & \underline {{\text{Bucket}} + \frac{1}{2}{\text{water}} = 13.5{\text{ kg}}} \to \left( {{\text{Subtract}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{1}{2}{\text{water}} = 3.5\,{\text{kg}} \cr & \therefore {\text{Weight of empty bucket}} \cr & = 17 - 7 = 10{\text{ kg}} \cr} $$