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For a room, the rate of painting is Rs. 3200 per square metre. The rate of carpeting per square metre is 120% of that of tiling. The cost of decorating the room Is 14 times to that of carpeting on the floor. The cost of electrification is 75% of that of carpeting the floor. The rate of tiling on the floor is 125% of that of painting. The dimensions of the room are 6 m x 6m x 5m.
What is the ratio of the cost of painting the four walls of the room and that of decoration ?
Cost per square metre,
Rate of painting = 3200
Rate of tiling = $$\frac{125}{100} * 3200$$ = 4000
Rate of carpeting = $$\frac{120}{100} * 4000$$ = 4800
Rate of decorating = 14 * 4800 = 67200
Area of the 4 walls = 2 * 5 * (6 + 6) = 120 sq. metre
Area of the floor = 6 * 6 = 36 sq. metre
=> Expenditure on decoration = 36 * 67200 = 2419200
Expenditure on painting = 120 * 3200 = 384000
$$\therefore$$ Required ratio = 384000 : 2419200 = 10 : 63
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