Question

A grocer sells 5 chocolates for $Rs.1$ at a profit of $4\%$. In order to get a profit of Rs $30$, how many chocolates does he have to sell for $Rs.1$?

Answer 1

Selling price of $5$ chocolates$=1$Re

Cost price of $5$ chocolate$=x$

Profit$=4\%$

Profit $\%=\frac{sp-cp}{cp}\times 100$

$\frac{4}{100}=\frac{1-x}{x}$

$4x=100-100x$

$104x=100$

$x=0.96$Rs. (Cost price of $5$ chocolates)

$\therefore$ Cost price of $1$ chocolate$=\frac{0.96}{5}=0.193$ Rs.

If profit $=30\%$, then s.p.

s.p$=\frac{130}{100}\times c.p$

$s.p=\frac{130}{100}\times 0.192$

$=0.2496$Rs. $\approx 0.25$Rs.

Selling price of $1$ chocolate$=0.25$Rs.

$\therefore$ No. of chocolates in $1$ Re$=\frac{1Re.}{0.25Rs}$

$=4$ chocolates.