The cost of papering the walls of a room $15$ m long at the rate of Rs. $0.95$ per $m^{2}$ is Rs. $212.80$ and the cost of matting the floor at the rate of Rs. $0.50$ per $m^{2}$ is Rs. $97.50$ . Find the height of the room.

12

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Solution

The correct option is B $4$ m
Let height of room = h
width of room = w
$\Rightarrow$ Area of walls $= 2 (l h + w h)$
$= 2 h (l + w)$
cost of papering walls $= 2 h (l + w) (0.95) = 212.80$
$\Rightarrow h = 112 / l t w$
Area of floor = lw
$\Rightarrow$ \cost $= 0.50 l w = 97.50$
$\Rightarrow l w = 195 \Rightarrow w = \frac{195}{15} = 13$
$\Rightarrow h = 112 / 28 = 4 m$

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The cost of papering the walls of a room 15m long at the rate of Rs. 0.95 per m2 is Rs. 212.80 and the cost of matting the floor at the rate of Rs. 0.50 per m2 is Rs. 97.50. Find the height of the room.

The correct option is B 4mLet height of room = h width of room = w ⇒ Area of walls =2(lh+wh) =2h(l+w)cost of papering walls =2h(l+w)(0.95)=212.80⇒h=112/ltwArea of floor = lw ⇒ \cost =0.50lw=97.50⇒lw=195⇒w=19515=13⇒h=112/28=4m

The cost of papering the walls of a room $15$ m long at the rate of Rs. $0.95$ per $m^{2}$ is Rs. $212.80$ and the cost of matting the floor at the rate of Rs. $0.50$ per $m^{2}$ is Rs. $97.50$ . Find the height of the room.