Question

Manoj purchased a video for rupees 10,000 he sold it to Rakesh at a gain of 12.5% if Rakesh sells it to Rahul at a loss of 4% what did Rahul pay for it

Answer 1

$\huge\bf\green {Hey \: there!}$


$\huge\mathsf\color {orange}{ \implies Given :}$


$\huge\mathsf\color {magenta}{i) Manoj \: purchased \: a \: video \: for \: rupees \: 10,000}$


$\huge\sf\color {green}{ii) Manoj \: sold \: the \: video \: to \: Rakesh \: at \: a \: gain \: of \: 12.5 \%}$


$\huge\mathsf\color {blue}{iii) Rakesh \: sold \: the \: article \: to \: Rahul \: at \: a \: loss \: of \: 4\%}$


$\huge\mathsf\color {purple}{ \implies \: According \: to \: the \: Question :}$


$\huge\mathsf \color {darkred}{CP \: of \: video \: for \: Rakesh = 112.5 \% \: of \: CP \: of \: video \: for \: Manoj}$


$\huge\mathsf\color {red}{= {\dfrac {112.5 × 10000}{100}}}$


$\huge\mathsf\color {red}{= Rs. 11250}$


$\huge\sf\color {darkred}{CP \: of \: video \: for \: Rahul = 96\% \: of \: CP \: of \: video \: for \: Rakesh}$


$\huge\sf\color {red}{={\dfrac {96×11250}{100}}}$


$\huge\sf\color {red}{= Rs. 10800}$


$\huge\mathsf \color {yellow}{Therefore, CP \: of \: video \: for \: Rahul = Rs. 10800}$


$\mathbb {\huge {\fcolorbox {yellow}{green}{Hope It Helps }}}$