Question

The cost of preparing the walls of a room 12m long at the rate of rs 1.35 per m square is rs 340.20 and the cost of ma5ing the floor at 85 paise per metre square is rs 91.80 find the height of the room

Answer 1

AnswEr:

We have,

• Length of the room = 12 m

Let the breadth and height be b and h metres. respectively Then,

$\rule{50}2$

• We have,

$\tt \: 2(l + b)h \times 1.35 = 340.20 \\ \\ \tt \: and \: lb \times \frac{85}{100} = 91.80 \\ \\ \rightarrow \tt \: lh + bh = \frac{340.20}{2.70} \: and \: lb = \frac{9180}{85} \\ \\ \rightarrow \tt 12h + bh = \frac{3420}{27} \: and \: 12b = \frac{9180}{85} \\ \\ \rightarrow \tt 12h + bh = \frac{3420}{27} \: and \: b = \frac{9180}{85 \times 12} = 9 \\ \\ \rightarrow \tt 12h + 9h = 126 \\ \\ \implies \tt \: h = 6$

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