A floor measuring 2 m by 1.5 m is to be covered with tiles measuring 25 cm by 25 cm. Find the number of tiles required to cover the floor and the cost of the tiles at Rs 420 per dozen.

Options

A. 24, Rs 1380
B. 48, Rs 1680
C. 48, Rs 1285
D. 24, Rs 2000

Answer

To solve the problem, we need to find out how many tiles are required to cover a floor measuring 2 m by 1.5 m using tiles that measure 25 cm by 25 cm. We will also calculate the cost of these tiles.

### Step 1: Convert the dimensions of the floor to centimeters.
- The dimensions of the floor are given in meters, so we need to convert them to centimeters.
- 1 meter = 100 centimeters.
- Therefore, the length of the floor is:
\[ 2 \, \text{m} = 2 \times 100 = 200 \, \text{cm} \]
- The width of the floor is:
\[ 1.5 \, \text{m} = 1.5 \times 100 = 150 \, \text{cm} \]

### Step 2: Calculate the area of the floor.
- The area of the floor can be calculated using the formula:
\[ \text{Area} = \text{Length} \times \text{Width} \]
- Substituting the values:
\[ \text{Area of the floor} = 200 \, \text{cm} \times 150 \, \text{cm} = 30000 \, \text{cm}^2 \]

### Step 3: Calculate the area of one tile.
- The area of one tile is calculated as:
\[ \text{Area of one tile} = \text{Length} \times \text{Width} \]
- For a tile measuring 25 cm by 25 cm:
\[ \text{Area of one tile} = 25 \, \text{cm} \times 25 \, \text{cm} = 625 \, \text{cm}^2 \]

### Step 4: Calculate the number of tiles required.
- To find the number of tiles required, we divide the area of the floor by the area of one tile:
\[ \text{Number of tiles} = \frac{\text{Area of the floor}}{\text{Area of one tile}} = \frac{30000 \, \text{cm}^2}{625 \, \text{cm}^2} \]
- Performing the division:
\[ \text{Number of tiles} = 48 \]

### Step 5: Calculate the cost of the tiles.
- The cost of tiles is given as Rs 420 per dozen (12 tiles).
- First, we find the number of dozens in 48 tiles:
\[ \text{Number of dozens} = \frac{48}{12} = 4 \]
- Now, we calculate the total cost:
\[ \text{Total cost} = \text{Number of dozens} \times \text{Cost per dozen} = 4 \times 420 = 1680 \, \text{Rs} \]

### Final Answer:
- The number of tiles required is **48**.
- The total cost of the tiles is **Rs 1680**.