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 53

What will be the total cost of painting, carpeting, decoration and electrification of the room if the dimensions of the room be 21 mx 42 mx 27 m?

Solution

Cost per square metre :

Rate of painting = 3200

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

Rate of carpeting = $$\frac{120}{100} * 4000$$ = 4800

Area of 4 walls of the room = 2 * 27 * (21 + 42) = 3402 sq. metre

Area of the floor = 21 * 42 = 882 sq. metre

=> Cost of painting = (3402 + 882) * 3200 = Rs. 13708800

Carpeting = 4800 * 882 = Rs. 4233600

Decoration = 4233600 * 14 = Rs. 59270400

Electrification = $$\frac{75}{100}$$ * 4233600 = Rs. 3175200

$$\therefore$$ Total expenditure = 13708800 + 4233600 + 59270400 + 3175200 = Rs. 80388000


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