What is the cost of flooring the rectangular hall ?
I. Length and the breadth of the hall are in the ratio of `3:2`
II. Length of the hall is 48 m and cost of florring is Rs. 850 per sq m.
III. Permeter of the hall is 160 m and cost of flooring is Rs. 850 per sq m.

Options

A. I and II
B. I and III
C. Only III
D. Any two of the three

Explanation

From I and II.
Length `=3x=48m`
`therefore x=16`
Breadth `=2x=32m`
Hence, Area of floor `=48xx32`
Cost of flooring `=48xx32xx850=Rs. 1305600`
From I and III, `2(1+b)=160`
`implies2(3x+2x)=160implies10x=160`
`therefore x=16`
`therefore "Length"=3xx16=48m`
Breadth `=2xx16=32m`
Cost of flooring `=(48xx32)xx850=Rs. 1305600`
Similarly, from II and III, we can find I = 48 m and b =32m and Total cost of flooring = Rs. 1305600