The cost of fencing a circular field at the rate of
*24 per metre is 35280. Then the cost of ploughing
the field, at the rate of 50 paise/m², is :
(A) * 2875
(B) 3850
(C) * 1925
(D) 1825
Answers
◘ Given ◘
The cost of fencing a circular field at the rate of ₹ 24 per metre is ₹ 35280.
◘ To Find ◘
Then the cost of ploughing the field, at the rate of 50 paise/m².
◘ Solution ◘
♠ Circumference of the field = 2πr
A/q,
24 × 2πr = 35280
⇒ 2πr = 35280/24
⇒ 2 × 22/7 × r = 1470
⇒ 44/7 × r = 1470
⇒ r = 1470 ÷ 44/7
⇒ r = 1470 × 7/44
⇒ r = 10290/44
⇒ r = 5145/22
⇒ r = 233.86 m
________________
♠ Area of the field = 2πr
⇒ A = 2 × 22/7 × 233.86
⇒ A = 467.72 × 22/7
⇒ A = 10289.84/7
⇒ A = 1469.97 m²
________________
Cost of ploughing the field, at the rate of 50 paise/m² = 50 × 1469.97
⇒ Cost of ploughing the field, at the rate of 50 paise/m² = 73498.5 paise
◘ Given ◘
The cost of fencing a circular field at the rate of ₹ 24 per metre is ₹ 35280.
◘ To Find ◘
Then the cost of ploughing the field, at the rate of 50 paise/m².
◘ Solution ◘
♠ Circumference of the field = 2πr
A/q,
24 × 2πr = 35280
⇒ 2πr = 35280/24
⇒ 2 × 22/7 × r = 1470
⇒ 44/7 × r = 1470
⇒ r = 1470 ÷ 44/7
⇒ r = 1470 × 7/44
⇒ r = 10290/44
⇒ r = 5145/22
⇒ r = 233.86 m
________________
♠ Area of the field = 2πr
⇒ A = 2 × 22/7 × 233.86
⇒ A = 467.72 × 22/7
⇒ A = 10289.84/7
⇒ A = 1469.97 m²
________________
Cost of ploughing the field, at the rate of 50 paise/m² = 50 × 1469.97
⇒ Cost of ploughing the field, at the rate of 50 paise/m² = 73498.5 paise