Question

a hall is 12 metre 5 decimeters broad and 14 5 decimeters long it is to be paved with tiles 15 CM square what will it cost if the price of one dozen tiles rupees 4.80​

Answer 1

The question with necessary corrections is : A hall is 12 metre 5 decimeters broad and 14 metre 5 decimeters long. It is to be paved with tiles 15 cm square. What will it cost if the price of one dozen tiles is rupees 4.80​ ?

The cost of tiles required to pave the hall is Rs. 48,333.20.

• Given,

Breadth of the hall = 12 m 5 dm

Length of the hall = 14 m 5 dm

• For calculations, the units must be made equal. So, we will convert 'm' into 'dm'

Now, 1 m = 10 dm

∴  For breadth, 12 m 5 dm = 12 × 10 dm + 5 dm

= 120 dm + 5 dm

= 125 dm

 

• For length,

14 m 5 dm = 14 × 10 dm + 5 dm

= 140 dm + 5m

= 145 dm

• Now, area of the hall = length × breadth

=> Area of the hall = 145 dm × 125 dm

= 18125 dm²

• Given,

Area of each tile with which the hall is to be paved = 15 cm²

• Now,

Number of tiles required to pave the hall = Area of the hall / Area of one tile

• Again, the units of the area of the hall and the area of the tiles are different. Therefore, we shall convert dm² into cm².

• We know that, 1 dm = 10 cm

=> (1 dm)² = (10 cm)²

=> 1 dm² = 100 cm²

∴ The area of the hall in cm² is 18,125 × 100 cm² = 18,125,00 cm²

• Now, number of tiles required to pave the hall = 18,125,00 cm² / 15 cm²= 1,20,833.33   1,20,833

• Cost of 1 dozen of tiles is given as Rs. 4.80.

1 dozen of tiles means 12 tiles.

=> Cost of 12 tiles = Rs. 4.80

• By unitary method,

Cost of 1 tile = Rs. 4.80 / 12 = Rs. 0.40

=> Cost of 1,20,833 tiles = Rs. 0.40 × 1,20,833 = Rs. 48,333.20 (Answer)