Using the Cement & Concrete Institute method, design a $20-$litre trial mix of concrete based on the data below and summarise quantities obtained. Use South African units

$$ Cement type $=$ CEM I $42\mathrm{.}5$ N $($Relative density of $3\mathrm{.}14)$

$$ Sand quality $($natural$)=$ Average $($Relative density $=2\mathrm{.}50$; FM$=2\mathrm{.}33)$

$$ Crushed aggregate size $=13\mathrm{.}2$ mm $($Relative density $=2\mathrm{.}65)$

$$ Dry compacted bulk density of stone $=1600$ kg$/$m$3$

$$ Characteristic strength at $28$ days $=30$ MPa

$$ Required slump $=75$ mm

$$ Defective level $=1\mathrm{.}5\%$

$$ Standard deviation $=4\mathrm{.}45$ MPa

$$ Water: Cement ratio $=0\mathrm{.}52$

$$ K value for determining stone content $=0\mathrm{.}90$