Question

The cost of harvesting a square field at the of rupees 190 per meter hectar is rupees 2327.5 .find the cost of putting a fence around it at the rate of rupees 7.50 per meter

Answer 1

$\bf{ \mathsf{\huge{SOLUTION - }}}$

$\bf{ \mathsf{Given {\ratio - }}}$

$\implies{\bf{ \underline{ \tiny{ \mathsf{ Cost \: of \: \: harvesting \: \: a \: \: Square \: \: field \: at \: the \: of \: rupees \: 190 per meter hectare \: is \: rupees \: Rs 2327.5 }}}}}$

$\implies{\bf{ \underline{ \tiny{ \mathsf{ Area \: of \: the \: field = \frac{cost \: of \: the \: fencing \: of \: field \: }{rate \: \: of \: the \: field}}}}}}$
$\implies{\bf{ \tiny{ \mathsf{ Area \: of \: the \: field = \frac{2327.5}{190} = 12.25hectare}}}}$
$\implies{\bf{ \tiny{ \fbox{ \bf{ \mathsf{ change \: \: hectares \: \: in \: to \: metre \: square}}}}}}$

$\implies{\bf{ \tiny{ \mathsf{ Area \: of \: the \: field =12.25 \times 10000 = 122500 \: square \: unit}}}}$

$\implies{\bf{ \tiny{ \mathsf{ Area \: of \: the \: field = \sqrt{122500} = 350}}}}$

$\implies{\bf{ \tiny{ \mathsf{ perimeter \: of \: the \: square \: field =4 \times sides}}}}$
$\implies{\bf{ \tiny{ \mathsf{350 = 4 \times sides}}}}$
$\implies{\bf{ \tiny{ \mathsf{sides = 87.5}}}}$
$\implies{\bf{ \tiny{ \mathsf{according \: to \: the \: question \: \: statement - }}}}$
$\implies{\bf{ \tiny{ \mathsf{required \: cost \: \: will \: be \: = 87.50 \times 7.50}}}}$
$\implies{\bf{ \tiny{ \mathsf{cost \: of \: fencing \: the \: field = 756.25}}}}$
$\implies{\bf{ \tiny{ \mathsf{hence \: \: cost \: of \: fencing \: the \: field =Rs. 756.25}}}}$

Answer 2

CostofharvestingaSquarefieldattheofrupees190permeterhectareisrupeesRs2327.5​

$\implies{\bf{ \underline{ \tiny{ \mathsf{ Area \: of \: the \: field = \frac{cost \: of \: the \: fencing \: of \: field \: }{rate \: \: of \: the \: field}}}}}}$

$Areaofthefield=rateofthefieldcostofthefencingoffield​​$
$\implies{\bf{ \tiny{ \mathsf{ Area \: of \: the \: field = \frac{2327.5}{190} = 12.25hectare}}}}$

Areaofthefield=1902327.5​=12.25hectare 
$\implies{\bf{ \tiny{ \fbox{ \bf{ \mathsf{ change \: \: hectares \: \: in \: to \: metre \: square}}}}}}$

changehectaresintometresquare​ 

$\implies{\bf{ \tiny{ \mathsf{ Area \: of \: the \: field =12.25 \times 10000 = 122500 \: square \: unit}}}}$

Areaofthefield=12.25×10000=122500squareunit 

\implies{\bf{ \tiny{ \mathsf{ Area \: of \: the \: field = \sqrt{122500} = 350}}}}⟹Areaofthefield=122500​=350 

$\implies{\bf{ \tiny{ \mathsf{ perimeter \: of \: the \: square \: field =4 \times sides}}}}$

perimeterofthesquarefield=4×sides 


$\implies{\bf{ \tiny{ \mathsf{350 = 4 \times sides}}}}$

350=4×sides


$\implies{\bf{ \tiny{ \mathsf{sides = 87.5}}}}⟹sides=87.5  \implies{\bf{ \tiny{ \mathsf{according \: to \: the \: question \: \: statement - }}}}$

accordingtothequestionstatement− 
$\implies{\bf{ \tiny{ \mathsf{required \: cost \: \: will \: be \: = 87.50 \times 7.50}}}}$

requiredcostwillbe=87.50×7.50 
$\implies{\bf{ \tiny{ \mathsf{cost \: of \: fencing \: the \: field = 756.25}}}}$⟹costoffencingthefield=756.25 
$\implies{\bf{ \tiny{ \mathsf{hence \: \: cost \: of \: fencing \: the \: field =Rs. 756.25}}}}$

hencecostoffencingthefield=Rs.756.25