If 11.25 m of a uniform iron rod weighs 42.75 kg, what will be the weight of 6 m of the same rod?
(a)22.8 kg
(b)25.6 kg
(c)28 kg
(d)26.5 kg
Answer
Answer (as printed): A
Explanation
Let the required weight be $x$ kg. Then, Less length, Less weight (Direct Proportion). $\therefore 11.25:6::42.75:x \Leftrightarrow 11.25\times x=6\times42.75 \Leftrightarrow x=\frac{(6\times42.75)}{11.25} \Leftrightarrow x=22.8$.
Explanation as extracted from the printed page; notation may be imperfect.