Question

A grocer buys $20$ kg of sugar at a cost of Rs $18$ per kg and $30$ kg of an inferior sugar at a cost of Rs $15$ per kg . He mixes the two kinds of sugar and sells the mixture at a cost of Rs $16.50$ per kg. If his profit or loss percent is given by $\frac{p}{q}\%$, then find the value of $p+q$.

Answer 1

C.P. of $20$ kg of surgar = $18\times 20=Rs.360$
C.P. of $30$ kg of sugar = $15\times 30=Rs.450$
$\therefore$ Total C.P. = $360+450=Rs.810$
S.P. of $(20+30)kg=50kg$ of sugar = $16.50\times 50=Rs.825$
$\therefore$ Profit = S.P. - C.P. = $825-810=Rs.15$
$\therefore$ Profit percent = $\frac{15}{810}\times 100=\frac{50}{27}=1\frac{23}{27}$
Hence the required profit percentage = $\frac{50}{27}\%$

therefore value of $p+q=50+27=77$