Question

If the cost price of $4$ toffees be equal to the selling price of $3$ toffees, then the gain$\%$ is
(a) $25\%$
(b) $30\%$
(c) $16\frac{2}{3}\%$
(d) $33\frac{1}{3}\%$

Answer 1

The correct option is (d) ($33\frac{1}{3}\%$)
Let the cost price of each toffee be $Rs.1$
Cost price of three toffees $=Rs.3$
SP of three toffees $=$ CP of four toffees $=Rs.4$
So, Total CP $=Rs.3$
Total, SP $=Rs.4$
Since, SP$>$CP
So, Gain $=$ SP$-$ CP $=Rs.(4-3)=Rs.1$
Gain$\%=\frac{\text{Gain}}{\text{CP}}\times 100$
$=\frac{1}{3}\times 100\%$
$=\frac{100}{3}\%$
Therefore, Gain$\%=33\frac{1}{3}\%$