Question

What is the cost of painting two adjacent walls of a hall having no door or window at Rs 450 per $m^2$?
I. Length and breadth are in the ratio of 3 : 2 respectively.
II. The perimeter of the hall is 50 m and height is one-fourth of the perimeter.

• A. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
• B. If the data in the statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
• C. If the data either in statement I alone or in statement II alone is sufficient to answer the question.
• D. If the data in both the statements I and II together are not sufficient to answer the question.
• E. If the data in both the statements I and II together are necessary to answer the question.

Answer 1

The correct option is E If the data in both the statements I and II together are necessary to answer the question.

Length : Breath = 3:2
Let length = 3x, breadth = 2x
Height $=50\times \frac{1}{4}=12.5$
Perimeter = 2 (3x + 2x) = 50
$\Rightarrow$ x = 5
So, area of any two adjacant walls = b $\times$ h + l $\times$ h = h(l + b)
Total cost of painting on wall = 12.5 $\times$ 25 $\times$ 450 = Rs 140625