What is the cost of fencing a rectangular plot along all four sides @ $ Rs.,450per,m^{2} $ ? I. The area of the plot is $ 1458m^{2}, $ which is 54 times the numerical value of its breadth. II. The length of the plot is 200% of its breadth and the breadth is 50% of its length
A) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
B) The data either in statement I alone or in statement II alone are sufficient to answer the question
C) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
D) The data in both statements I and II together are necessary to answer the question
E) The data even in both statements I and II together are not sufficient to answer the question
Correct Answer: C
$ \therefore $ $ Breadth=\frac{1458}{54}=27m $ $ Length=\frac{1458}{27}=54m $
$ \therefore $ Perimeter of four walls $ =2(l+b) $ $ =2(54+27)=162m $
$ \therefore $ Cost of fencing a rectangular plot $ =162\times 450=Rs\text{.}72900 $ Hence, the statements I alone is necessary to answer the question.