Question

what percent of 200kg is 40 kg



by x method​

Answer 1

$\Large{\underline{\underline{\mathfrak{ \bigstar \: Solution \; \bigstar }}}}$

$\sf{ Let \: x\% \: of \: 200kg = 40.}$

$\sf{Then, \: \bigg(\Large\frac{x}{100} \small × 200 \bigg) = 40 }$

$\sf{ \leadsto \: \Large\frac{x}{ \cancel{100}_{ \: \: 1}} \small × \cancel{200}^{ \: \: 2} = 40 }$

$\sf{ \leadsto \: 2x = 40 }$

$\sf{ \leadsto \: x = \Large\frac{ \cancel{40} }{ \cancel{2} } }$

$\sf{ \leadsto \: x = 20 }$

$\sf{Hence,} \: \: \bf{ 20\% } \: \: \sf{of \: 200 \: kg \: is \: 40 \: kg.}$

Answer 2

Answer:

Let x% of 200kg = 40.

$\sf{Then, \: \bigg(\Large\frac{x}{100} \small × 200 \bigg) = 40 }$

$\sf{ \leadsto \: \Large\frac{x}{ \cancel{100}_{ \: \: 1}} \small × \cancel{200}^{ \: \: 2} = 40 }$

$\sf{ \leadsto \: 2x = 40 }$

$\sf{ \leadsto \: x = \Large\frac{ \cancel{40} }{ \cancel{2} } }$

$\sf{ \leadsto \: x = 20 }$

$\sf{Hence,} \: \: \bf{ 20\% } \: \: \sf{of \: 200 \: kg \: is \: 40 \: kg.}$