Instructions

Study the following information carefully and answer the questions.

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.

Question 55

# If the length of the room be increased by 20%, breadth by 32% and height by 12%, then what will be the total cost of painting of the four walls of the room and tiling the floor?

Solution

Cost per square metre

Rate of painting = 3200

Rate of tiling = $$\frac{125}{100} * 3200$$ = 4000

New length = $$\frac{120}{100}$$ * 6 = 7.2

New breadth = $$\frac{132}{100}$$ * 6 = 7.92

New height = $$\frac{112}{100}$$ * 5 = 5.6

=> Area of the 4 walls = 2 * 5.6 * (7.2 + 7.92) = 169.344 sq. metre

Area of the floor = 7.2 * 7.92 = 57.024 sq. metre

=> Cost of painting = 3200 * 169.344 = Rs. 541900.8

Cost of tiling = 4000 * 57.024 = Rs. 228096

$$\therefore$$ Total cost = 541900.8 + 228096 = Rs. 76996.8