The cost of preparing the walls of a room 12 m long at the rate of Rs 1.35 per square meter is Rs 340.20 and
Question:
The cost of preparing the walls of a room 12 m long at the rate of Rs 1.35 per square meter is Rs 340.20 and the cost of matting the floor at 85 paise per square meter is Rs 91.80. Find the height of the room.
Solution:
Given that,
Length of the room = 12m
Let the height of the room be 'h'
Area of 4 walls = 2(l + b)*h
According to the question
2(l + b) * h * 1.35 = 340.20
2(12 + b0 * h * 1.35 = 340.20
$(12+\mathrm{b}) * \mathrm{~h}=\frac{170.10}{1.35}=126 \ldots$
Also Area of the Floor = l * b
Therefore, l ∗ b ∗ 0.85 = 91.80
⇒ 12 ∗ b ∗ 0.85 = 91.80
⇒ b = 9 m ... (2)
Substituting b = 9m in equation (1)
(12 + 9) * h = 126; h = 6 m