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The density of a material in $SI$ units is $128\, kg\, m^{-3}.$ In certain units in which the unit of length is $25\, cm$ and the unit of mass $50\, g$, the numerical value of density of the material is
  • A$40$
  • B$16$
  • C$640$
  • D$410$
JEE MAIN 2019, Medium
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$\frac{{128\ kg}}{{{m^3}}} = \frac{{125\left( {50g} \right)\left( {20} \right)}}{{{{\left( {25\ cm} \right)}^3}{{\left( 4 \right)}^3}}}$
$= \frac{{128}}{{64}}\left( {20} \right)$ units
$= 40$ units
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