Question

A shopkeeper bought goods for rs. 2025. He sold 15th of it at 20% profit and the remaining at the profit of 5%, the profit per cent on the whole is

Answer 1

$\bold{given : } \\ \\ shopkeeper \: bought \: goods : \\ \\ price \: - \: 2025 \: rs \: \\ \\ \\ \\ 15 \: th \: of \: goods \: \\ \\was \: sold \: for \: 20\% \: profit \\ \\ \: \bold{15th \: part } : \\ \\ \frac{2025}{15} \\ \\\bold{ 135 \: rs} \: \\ \\ \\ \\\bold{ 20\% \: profit \: on \: 135 \: rs : }\\ \\ \frac{20}{100} \times 135 \\ \\ \bold{27 \: rs }\: \\ \\ \\ \\ remaining \: part \: of \: cp : \\ \\ 2025 - 135 \\ \\\bold{ 1890 \: rs \: } \\ \\ \\ \\ on \: remaining \: part \: he \: made \\ \: the \: profit \: of \: 5\% : \\ \\ \bold{5\% \:profit\: on\: 1890 : }\\ \\ \frac{5}{100} \times 1890 \\ \\\bold{ 94.5 \: rs \: } \\ \\ \\ \\ total \: profit \: in \: both \: transactions : \\ \\ 27 + 94.5 \\ \\\bold{ 121.5 \: rs \: } \\ \\ \\ \\\bold {percent \: profit : } \\ \\ \bold {\frac{profit}{cp} \times 100} \\ \\ \frac{121.5}{2025} \times 100 \\ \\ \bold{6\%}$