The cost of levelling of a rectangular ground at rs. 1.25 per sq. metre is rs. 1000. If the length of the round is 40m, then the width is?

Options

A. a. 30m
B. b. 20m
C. c. 24m
D. d. 18m

Answer

To find the width of the rectangular ground, we can follow these steps:

### Step 1: Understand the relationship between cost, area, and cost per square meter.
The total cost of leveling the ground can be expressed as:
\[ \text{Total Cost} = \text{Area} \times \text{Cost per square meter} \]

### Step 2: Substitute the known values into the equation.
Given:
- Total Cost = Rs. 1000
- Cost per square meter = Rs. 1.25

We can set up the equation:
\[ 1000 = \text{Area} \times 1.25 \]

### Step 3: Solve for the area.
To find the area, we can rearrange the equation:
\[ \text{Area} = \frac{1000}{1.25} \]

Now, perform the division:
\[ \text{Area} = 800 \text{ square meters} \]

### Step 4: Use the formula for the area of a rectangle.
The area of a rectangle is given by:
\[ \text{Area} = \text{Length} \times \text{Width} \]
We know the length is 40 meters, so we can substitute this into the area formula:
\[ 800 = 40 \times \text{Width} \]

### Step 5: Solve for the width.
To find the width, rearrange the equation:
\[ \text{Width} = \frac{800}{40} \]

Now, perform the division:
\[ \text{Width} = 20 \text{ meters} \]

### Final Answer:
The width of the rectangular ground is **20 meters**.

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