Question

The cost of fencing a square field at ₹16 per metre is ₹32000.Find the cost of reaping the field at ₹35 per 100m².​

Answer 1

$\boxed{\boxed{\mathtt{ANSWER = Rs\: 87,500 }}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\implies$ Cost of fencing square

field per metre = ₹ 16

$\implies$ Total cost = ₹ 32,000

$\therefore$ Perimeter of field =$\frac{Total \:Cost}{Cost\:per\: metre}$

$\implies$ =$\frac{32,000}{16} </p><p>= 2,000\:m$

$\therefore$ Side of square field =$\frac{2,000}{4} = 500\:m$

$\implies$ Now, Area of square field

= $(side)^{2} = (500)^{2} =250,000 \:m^{2}$

$\implies$ Cost of reaping field per 100 m square

= ₹ 35.

$\implies$ $Cost\:of\:reaping\:1m^{2} =\frac{35}{100} =\frac{7}{20}$

$\implies$ Thus, $Cost\:of\:reaping\ 250,000m^{2} =\frac{7}{20} \times250,000$

$\implies$ 7 × 12,500 = ₹ 87,500

Answer 2

ANSWER=Rs87,500

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

Step−by−stepexplanation:

\implies⟹ Cost of fencing square

field per metre = ₹ 16

$\implies⟹$Total cost = ₹ 32,000

$\therefore∴$Perimeter of field$=\frac{Total \:Cost}{Cost\:per\: metre}/tex]</p><p></p><p> </p><p></p><p>[tex]\implies⟹ =\frac{32,000}{16} = 2,000\:m </p><p>16</p><p>32,000</p><p> </p><p> =2,000m$

$\therefore∴ Side /:of/: square/: field/: =\frac{2,000}{4} = 500\:m </p><p>4</p><p>2,000</p><p> </p><p> =500m$

$\implies⟹$Now, Area of square field

$= (side)^{2} = (500)^{2} =250,000 \:m^{2}(side) </p><p>2</p><p> =(500) </p><p>2</p><p> =250,000m </p><p>2$

$\implies⟹ Cost of reaping field per 100 m square</p><p></p><p>= ₹ 35!/tex]</p><p></p><p>[tex]\implies⟹ Cost\:of\:reaping\:1m^{2} =\frac{35}{100} =\frac{7}{20}Costofreaping1m </p><p>2</p><p> = </p><p>100</p><p>35</p><p> </p><p> = </p><p>20</p><p>/7$

$\implies⟹ Thus, Cost\:of\:reaping\ 250,000m^{2} =\frac{7}{20} \times250,000Costofreaping 250,000m </p><p>2</p><p> = </p><p>20</p><p>7</p><p> </p><p> ×250,000</p><p></p><p>\implies⟹ 7 × 12,500 = ₹ 87,500$