Question

A man bought $3$ toffees for a rupee. How many toffees for a rupee should he sell to gain $50\%$?

• A. $2$
• B. $3$
• C. $4$
• D. $1$

Answer 1

The correct option is A

$2$

Cost price of $3$ toffees $=₹1$

Profit percentage $=50\%$

Cost price of $1$ toffee $=₹\frac{1}{3}$

Selling price of $1$ toffee $=₹(1+\frac{50}{100})\times \frac{1}{3}$

$$\begin{gathered} =₹\frac{150}{100}\times \frac{1}{3} \\ =₹\frac{1}{2} \end{gathered}$$

Number of toffees sold for $1$ rupee $=\frac{1}{{\displaystyle \frac{1}{2}}}$

$=2$

So for $1$ rupee, he can sell $2$ toffees.

Hence option (a) is the answer.