The cost of fencing the circular ground at 25 paisa per meter is Rs. 440. the cost of reaping the grass at 60 paisa per 100 square meters is:

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Rs. 1790.00

Rs. 1887.40

Rs. 1478.40

Rs. 1646.80

answer is C.

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Detailed Solution

We are given that the cost of fencing of the circular ground is 25 paisa per meter is Rs.440
Let us assume that the circumference of the given circular ground as C
We know that for fencing we need to consider the circumference.
So, we can consider that the cost of fencing of 1 meter is 25 paisa and the cost of fencing of the circumference is Rs.440.
We know that the conversion of rupee to paisa as
1 rupee = 100 paise
By converting the 25 paisa in above statement into rupee we get

⇒ 25 paisa = 25100 rupee ⇒ 25 paisa = 14 rupee

Now, by converting the given statement into mathematical equation we get

⇒ C 1 = 44014 ⇒ C = 440 × 4 ⇒ C = 1760

We know that the formula of circumference of circle of radius

′ r ′

is given as

C = 2 π r

By substituting this formula in above equation we get

⇒ 2 π r = 1760 ⇒ r = 880 π

Therefore we can see that the radius of given circular ground is

880 π

metres.
Now, let us find the cost of reaping grass.
We know that for the reaping of grass we need to consider the area of the circle.
Now, let us assume that the cost of reaping the grass as X for A square meters
We are given that the cost of reaping the grass is 60 paisa per 100 square meters
Now, by converting the 60 paisa to rupee we get